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Finding the Fourth Proportional to 125,213.68, 187,820.52 and 75,862

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Solution

The fourth proportional to 125,213.68, 187,820.52 and 75,862 is: 113,793

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,213.68 : 187,820.52 = 75,862 : x
  2. Step 2: Convert to fraction form
    125,213.68/187,820.52 = 75,862/x
  3. Step 3: Cross multiply
    125,213.68x = 187,820.52 × 75,862
  4. Step 4: Simplify right side
    125,213.68x = 14,248,440,288.24
  5. Step 5: Solve for x
    x = 14,248,440,288.24/125,213.68
  6. Step 6: Final answer
    x = 113,793

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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.