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Finding the Fourth Proportional to 105,149.52, 157,663.68 and 71,909.87

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Solution

The fourth proportional to 105,149.52, 157,663.68 and 71,909.87 is: 107,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.52 : 157,663.68 = 71,909.87 : x
  2. Step 2: Convert to fraction form
    105,149.52/157,663.68 = 71,909.87/x
  3. Step 3: Cross multiply
    105,149.52x = 157,663.68 × 71,909.87
  4. Step 4: Simplify right side
    105,149.52x = 11,337,574,732.52
  5. Step 5: Solve for x
    x = 11,337,574,732.52/105,149.52
  6. Step 6: Final answer
    x = 107,823.36

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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.