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Finding the Fourth Proportional to 125,791.38, 173,663.77 and 83,407.22

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Solution

The fourth proportional to 125,791.38, 173,663.77 and 83,407.22 is: 115,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,791.38 : 173,663.77 = 83,407.22 : x
  2. Step 2: Convert to fraction form
    125,791.38/173,663.77 = 83,407.22/x
  3. Step 3: Cross multiply
    125,791.38x = 173,663.77 × 83,407.22
  4. Step 4: Simplify right side
    125,791.38x = 14,484,812,270.42
  5. Step 5: Solve for x
    x = 14,484,812,270.42/125,791.38
  6. Step 6: Final answer
    x = 115,149.48

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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.