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Finding the Fourth Proportional to 206,951.20, 310,499.70 and 101,699.80

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Solution

The fourth proportional to 206,951.20, 310,499.70 and 101,699.80 is: 152,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.20 : 310,499.70 = 101,699.80 : x
  2. Step 2: Convert to fraction form
    206,951.20/310,499.70 = 101,699.80/x
  3. Step 3: Cross multiply
    206,951.20x = 310,499.70 × 101,699.80
  4. Step 4: Simplify right side
    206,951.20x = 31,577,757,390.06
  5. Step 5: Solve for x
    x = 31,577,757,390.06/206,951.20
  6. Step 6: Final answer
    x = 152,585.52

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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.