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Finding the Fourth Proportional to 78,197.73, 108,002.55 and 51,459.61

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Solution

The fourth proportional to 78,197.73, 108,002.55 and 51,459.61 is: 71,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.73 : 108,002.55 = 51,459.61 : x
  2. Step 2: Convert to fraction form
    78,197.73/108,002.55 = 51,459.61/x
  3. Step 3: Cross multiply
    78,197.73x = 108,002.55 × 51,459.61
  4. Step 4: Simplify right side
    78,197.73x = 5,557,769,102.01
  5. Step 5: Solve for x
    x = 5,557,769,102.01/78,197.73
  6. Step 6: Final answer
    x = 71,073.28

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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.