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Finding the Fourth Proportional to 125,438.52, 173,186.26 and 77,742.52

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Solution

The fourth proportional to 125,438.52, 173,186.26 and 77,742.52 is: 107,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,438.52 : 173,186.26 = 77,742.52 : x
  2. Step 2: Convert to fraction form
    125,438.52/173,186.26 = 77,742.52/x
  3. Step 3: Cross multiply
    125,438.52x = 173,186.26 × 77,742.52
  4. Step 4: Simplify right side
    125,438.52x = 13,463,936,281.78
  5. Step 5: Solve for x
    x = 13,463,936,281.78/125,438.52
  6. Step 6: Final answer
    x = 107,334.94

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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.