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Finding the Fourth Proportional to 284,125.69, 392,102.61 and 161,614.90

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Solution

The fourth proportional to 284,125.69, 392,102.61 and 161,614.90 is: 223,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,125.69 : 392,102.61 = 161,614.90 : x
  2. Step 2: Convert to fraction form
    284,125.69/392,102.61 = 161,614.90/x
  3. Step 3: Cross multiply
    284,125.69x = 392,102.61 × 161,614.90
  4. Step 4: Simplify right side
    284,125.69x = 63,369,625,085.15
  5. Step 5: Solve for x
    x = 63,369,625,085.15/284,125.69
  6. Step 6: Final answer
    x = 223,033.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.