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Finding the Fourth Proportional to 78,407.28, 117,610.20 and 31,659.48

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Solution

The fourth proportional to 78,407.28, 117,610.20 and 31,659.48 is: 47,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.28 : 117,610.20 = 31,659.48 : x
  2. Step 2: Convert to fraction form
    78,407.28/117,610.20 = 31,659.48/x
  3. Step 3: Cross multiply
    78,407.28x = 117,610.20 × 31,659.48
  4. Step 4: Simplify right side
    78,407.28x = 3,723,477,774.70
  5. Step 5: Solve for x
    x = 3,723,477,774.70/78,407.28
  6. Step 6: Final answer
    x = 47,488.93

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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.