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Finding the Fourth Proportional to 189,470.92, 284,123.70 and 100,703.08

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Solution

The fourth proportional to 189,470.92, 284,123.70 and 100,703.08 is: 151,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,470.92 : 284,123.70 = 100,703.08 : x
  2. Step 2: Convert to fraction form
    189,470.92/284,123.70 = 100,703.08/x
  3. Step 3: Cross multiply
    189,470.92x = 284,123.70 × 100,703.08
  4. Step 4: Simplify right side
    189,470.92x = 28,612,131,691.00
  5. Step 5: Solve for x
    x = 28,612,131,691.00/189,470.92
  6. Step 6: Final answer
    x = 151,010.68

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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.