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Finding the Fourth Proportional to 239,593.05, 359,432.61 and 81,784.60

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Solution

The fourth proportional to 239,593.05, 359,432.61 and 81,784.60 is: 122,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,593.05 : 359,432.61 = 81,784.60 : x
  2. Step 2: Convert to fraction form
    239,593.05/359,432.61 = 81,784.60/x
  3. Step 3: Cross multiply
    239,593.05x = 359,432.61 × 81,784.60
  4. Step 4: Simplify right side
    239,593.05x = 29,396,051,030.53
  5. Step 5: Solve for x
    x = 29,396,051,030.53/239,593.05
  6. Step 6: Final answer
    x = 122,691.58

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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.