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Finding the Fourth Proportional to 363,932.52, 545,898.78 and 142,161

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Solution

The fourth proportional to 363,932.52, 545,898.78 and 142,161 is: 213,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,932.52 : 545,898.78 = 142,161 : x
  2. Step 2: Convert to fraction form
    363,932.52/545,898.78 = 142,161/x
  3. Step 3: Cross multiply
    363,932.52x = 545,898.78 × 142,161
  4. Step 4: Simplify right side
    363,932.52x = 77,605,516,463.58
  5. Step 5: Solve for x
    x = 77,605,516,463.58/363,932.52
  6. Step 6: Final answer
    x = 213,241.50

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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.