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Finding the Fourth Proportional to 227,614.70, 341,389.65 and 77,861.90

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Solution

The fourth proportional to 227,614.70, 341,389.65 and 77,861.90 is: 116,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,614.70 : 341,389.65 = 77,861.90 : x
  2. Step 2: Convert to fraction form
    227,614.70/341,389.65 = 77,861.90/x
  3. Step 3: Cross multiply
    227,614.70x = 341,389.65 × 77,861.90
  4. Step 4: Simplify right side
    227,614.70x = 26,581,246,789.34
  5. Step 5: Solve for x
    x = 26,581,246,789.34/227,614.70
  6. Step 6: Final answer
    x = 116,781.77

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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.