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Finding the Fourth Proportional to 125,856, 173,642.16 and 71,399.19

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Solution

The fourth proportional to 125,856, 173,642.16 and 71,399.19 is: 98,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,856 : 173,642.16 = 71,399.19 : x
  2. Step 2: Convert to fraction form
    125,856/173,642.16 = 71,399.19/x
  3. Step 3: Cross multiply
    125,856x = 173,642.16 × 71,399.19
  4. Step 4: Simplify right side
    125,856x = 12,397,909,573.85
  5. Step 5: Solve for x
    x = 12,397,909,573.85/125,856
  6. Step 6: Final answer
    x = 98,508.69

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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.