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Finding the Fourth Proportional to 310,744.76, 466,127.20 and 86,107.40

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Solution

The fourth proportional to 310,744.76, 466,127.20 and 86,107.40 is: 129,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,744.76 : 466,127.20 = 86,107.40 : x
  2. Step 2: Convert to fraction form
    310,744.76/466,127.20 = 86,107.40/x
  3. Step 3: Cross multiply
    310,744.76x = 466,127.20 × 86,107.40
  4. Step 4: Simplify right side
    310,744.76x = 40,137,001,261.28
  5. Step 5: Solve for x
    x = 40,137,001,261.28/310,744.76
  6. Step 6: Final answer
    x = 129,163.89

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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.