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Finding the Fourth Proportional to 114,702.30, 172,053.45 and 72,711.90

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Solution

The fourth proportional to 114,702.30, 172,053.45 and 72,711.90 is: 109,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702.30 : 172,053.45 = 72,711.90 : x
  2. Step 2: Convert to fraction form
    114,702.30/172,053.45 = 72,711.90/x
  3. Step 3: Cross multiply
    114,702.30x = 172,053.45 × 72,711.90
  4. Step 4: Simplify right side
    114,702.30x = 12,510,333,251.06
  5. Step 5: Solve for x
    x = 12,510,333,251.06/114,702.30
  6. Step 6: Final answer
    x = 109,067.85

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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.