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Finding the Fourth Proportional to 78,160.59, 117,251.82 and 25,559.60

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Solution

The fourth proportional to 78,160.59, 117,251.82 and 25,559.60 is: 38,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.59 : 117,251.82 = 25,559.60 : x
  2. Step 2: Convert to fraction form
    78,160.59/117,251.82 = 25,559.60/x
  3. Step 3: Cross multiply
    78,160.59x = 117,251.82 × 25,559.60
  4. Step 4: Simplify right side
    78,160.59x = 2,996,909,032.21
  5. Step 5: Solve for x
    x = 2,996,909,032.21/78,160.59
  6. Step 6: Final answer
    x = 38,342.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.