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Finding the Fourth Proportional to 77,957.43, 107,581.25 and 42,147.44

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Solution

The fourth proportional to 77,957.43, 107,581.25 and 42,147.44 is: 58,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.43 : 107,581.25 = 42,147.44 : x
  2. Step 2: Convert to fraction form
    77,957.43/107,581.25 = 42,147.44/x
  3. Step 3: Cross multiply
    77,957.43x = 107,581.25 × 42,147.44
  4. Step 4: Simplify right side
    77,957.43x = 4,534,273,530.86
  5. Step 5: Solve for x
    x = 4,534,273,530.86/77,957.43
  6. Step 6: Final answer
    x = 58,163.46

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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.