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Finding the Fourth Proportional to 310,727.52, 466,101.30 and 86,090.12

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Solution

The fourth proportional to 310,727.52, 466,101.30 and 86,090.12 is: 129,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,727.52 : 466,101.30 = 86,090.12 : x
  2. Step 2: Convert to fraction form
    310,727.52/466,101.30 = 86,090.12/x
  3. Step 3: Cross multiply
    310,727.52x = 466,101.30 × 86,090.12
  4. Step 4: Simplify right side
    310,727.52x = 40,126,716,849.16
  5. Step 5: Solve for x
    x = 40,126,716,849.16/310,727.52
  6. Step 6: Final answer
    x = 129,137.96

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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.