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Finding the Fourth Proportional to 206,097,319.20, 309,145,978.80 and 104,060,647.20

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Solution

The fourth proportional to 206,097,319.20, 309,145,978.80 and 104,060,647.20 is: 156,090,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097,319.20 : 309,145,978.80 = 104,060,647.20 : x
  2. Step 2: Convert to fraction form
    206,097,319.20/309,145,978.80 = 104,060,647.20/x
  3. Step 3: Cross multiply
    206,097,319.20x = 309,145,978.80 × 104,060,647.20
  4. Step 4: Simplify right side
    206,097,319.20x = 32,169,930,633,205,480
  5. Step 5: Solve for x
    x = 32,169,930,633,205,480/206,097,319.20
  6. Step 6: Final answer
    x = 156,090,970.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.