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Finding the Fourth Proportional to 125,920, 173,766.16 and 69,331.68

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Solution

The fourth proportional to 125,920, 173,766.16 and 69,331.68 is: 95,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,920 : 173,766.16 = 69,331.68 : x
  2. Step 2: Convert to fraction form
    125,920/173,766.16 = 69,331.68/x
  3. Step 3: Cross multiply
    125,920x = 173,766.16 × 69,331.68
  4. Step 4: Simplify right side
    125,920x = 12,047,499,799.95
  5. Step 5: Solve for x
    x = 12,047,499,799.95/125,920
  6. Step 6: Final answer
    x = 95,675.82

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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.