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Finding the Fourth Proportional to 125,417.30, 187,834.35 and 85,759.70

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Solution

The fourth proportional to 125,417.30, 187,834.35 and 85,759.70 is: 128,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,417.30 : 187,834.35 = 85,759.70 : x
  2. Step 2: Convert to fraction form
    125,417.30/187,834.35 = 85,759.70/x
  3. Step 3: Cross multiply
    125,417.30x = 187,834.35 × 85,759.70
  4. Step 4: Simplify right side
    125,417.30x = 16,108,617,505.70
  5. Step 5: Solve for x
    x = 16,108,617,505.70/125,417.30
  6. Step 6: Final answer
    x = 128,440.16

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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.