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Finding the Fourth Proportional to 310,792.76, 466,142.96 and 86,129.77

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Solution

The fourth proportional to 310,792.76, 466,142.96 and 86,129.77 is: 129,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792.76 : 466,142.96 = 86,129.77 : x
  2. Step 2: Convert to fraction form
    310,792.76/466,142.96 = 86,129.77/x
  3. Step 3: Cross multiply
    310,792.76x = 466,142.96 × 86,129.77
  4. Step 4: Simplify right side
    310,792.76x = 40,148,784,335.91
  5. Step 5: Solve for x
    x = 40,148,784,335.91/310,792.76
  6. Step 6: Final answer
    x = 129,181.85

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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.