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Finding the Fourth Proportional to 125,766, 173,514.72 and 85,409.76

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Solution

The fourth proportional to 125,766, 173,514.72 and 85,409.76 is: 117,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766 : 173,514.72 = 85,409.76 : x
  2. Step 2: Convert to fraction form
    125,766/173,514.72 = 85,409.76/x
  3. Step 3: Cross multiply
    125,766x = 173,514.72 × 85,409.76
  4. Step 4: Simplify right side
    125,766x = 14,819,850,591.67
  5. Step 5: Solve for x
    x = 14,819,850,591.67/125,766
  6. Step 6: Final answer
    x = 117,836.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.