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Finding the Fourth Proportional to 206,751,149.70, 309,939,017.10 and 103,152,041.16

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Solution

The fourth proportional to 206,751,149.70, 309,939,017.10 and 103,152,041.16 is: 154,634,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751,149.70 : 309,939,017.10 = 103,152,041.16 : x
  2. Step 2: Convert to fraction form
    206,751,149.70/309,939,017.10 = 103,152,041.16/x
  3. Step 3: Cross multiply
    206,751,149.70x = 309,939,017.10 × 103,152,041.16
  4. Step 4: Simplify right side
    206,751,149.70x = 31,970,842,248,989,144
  5. Step 5: Solve for x
    x = 31,970,842,248,989,144/206,751,149.70
  6. Step 6: Final answer
    x = 154,634,410.96

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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.