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Finding the Fourth Proportional to 189,387.48, 284,189.76 and 77,046.96

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Solution

The fourth proportional to 189,387.48, 284,189.76 and 77,046.96 is: 115,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,387.48 : 284,189.76 = 77,046.96 : x
  2. Step 2: Convert to fraction form
    189,387.48/284,189.76 = 77,046.96/x
  3. Step 3: Cross multiply
    189,387.48x = 284,189.76 × 77,046.96
  4. Step 4: Simplify right side
    189,387.48x = 21,895,957,071.13
  5. Step 5: Solve for x
    x = 21,895,957,071.13/189,387.48
  6. Step 6: Final answer
    x = 115,614.60

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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.