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Finding the Fourth Proportional to 125,366.40, 188,062.56 and 86,292

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Solution

The fourth proportional to 125,366.40, 188,062.56 and 86,292 is: 129,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,366.40 : 188,062.56 = 86,292 : x
  2. Step 2: Convert to fraction form
    125,366.40/188,062.56 = 86,292/x
  3. Step 3: Cross multiply
    125,366.40x = 188,062.56 × 86,292
  4. Step 4: Simplify right side
    125,366.40x = 16,228,294,427.52
  5. Step 5: Solve for x
    x = 16,228,294,427.52/125,366.40
  6. Step 6: Final answer
    x = 129,446.92

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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.