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Finding the Fourth Proportional to 125,186.52, 187,827.72 and 75,301.95

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Solution

The fourth proportional to 125,186.52, 187,827.72 and 75,301.95 is: 112,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,186.52 : 187,827.72 = 75,301.95 : x
  2. Step 2: Convert to fraction form
    125,186.52/187,827.72 = 75,301.95/x
  3. Step 3: Cross multiply
    125,186.52x = 187,827.72 × 75,301.95
  4. Step 4: Simplify right side
    125,186.52x = 14,143,793,580.05
  5. Step 5: Solve for x
    x = 14,143,793,580.05/125,186.52
  6. Step 6: Final answer
    x = 112,981.76

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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.