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Finding the Fourth Proportional to 310,792.89, 466,143.14 and 86,129.90

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Solution

The fourth proportional to 310,792.89, 466,143.14 and 86,129.90 is: 129,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792.89 : 466,143.14 = 86,129.90 : x
  2. Step 2: Convert to fraction form
    310,792.89/466,143.14 = 86,129.90/x
  3. Step 3: Cross multiply
    310,792.89x = 466,143.14 × 86,129.90
  4. Step 4: Simplify right side
    310,792.89x = 40,148,859,703.17
  5. Step 5: Solve for x
    x = 40,148,859,703.17/310,792.89
  6. Step 6: Final answer
    x = 129,182.04

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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.