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Finding the Fourth Proportional to 310,791.12, 466,140.54 and 86,128.14

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Solution

The fourth proportional to 310,791.12, 466,140.54 and 86,128.14 is: 129,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,791.12 : 466,140.54 = 86,128.14 : x
  2. Step 2: Convert to fraction form
    310,791.12/466,140.54 = 86,128.14/x
  3. Step 3: Cross multiply
    310,791.12x = 466,140.54 × 86,128.14
  4. Step 4: Simplify right side
    310,791.12x = 40,147,817,688.80
  5. Step 5: Solve for x
    x = 40,147,817,688.80/310,791.12
  6. Step 6: Final answer
    x = 129,179.42

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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.