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Finding the Fourth Proportional to 363,939.52, 545,909.28 and 142,168

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Solution

The fourth proportional to 363,939.52, 545,909.28 and 142,168 is: 213,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,939.52 : 545,909.28 = 142,168 : x
  2. Step 2: Convert to fraction form
    363,939.52/545,909.28 = 142,168/x
  3. Step 3: Cross multiply
    363,939.52x = 545,909.28 × 142,168
  4. Step 4: Simplify right side
    363,939.52x = 77,610,830,519.04
  5. Step 5: Solve for x
    x = 77,610,830,519.04/363,939.52
  6. Step 6: Final answer
    x = 213,252

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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.