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Finding the Fourth Proportional to 206,265.58, 284,663.91 and 115,620.10

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Solution

The fourth proportional to 206,265.58, 284,663.91 and 115,620.10 is: 159,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,265.58 : 284,663.91 = 115,620.10 : x
  2. Step 2: Convert to fraction form
    206,265.58/284,663.91 = 115,620.10/x
  3. Step 3: Cross multiply
    206,265.58x = 284,663.91 × 115,620.10
  4. Step 4: Simplify right side
    206,265.58x = 32,912,869,740.59
  5. Step 5: Solve for x
    x = 32,912,869,740.59/206,265.58
  6. Step 6: Final answer
    x = 159,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.