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Finding the Fourth Proportional to 78,407.66, 117,610.76 and 31,659.86

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Solution

The fourth proportional to 78,407.66, 117,610.76 and 31,659.86 is: 47,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.66 : 117,610.76 = 31,659.86 : x
  2. Step 2: Convert to fraction form
    78,407.66/117,610.76 = 31,659.86/x
  3. Step 3: Cross multiply
    78,407.66x = 117,610.76 × 31,659.86
  4. Step 4: Simplify right side
    78,407.66x = 3,723,539,687.19
  5. Step 5: Solve for x
    x = 3,723,539,687.19/78,407.66
  6. Step 6: Final answer
    x = 47,489.49

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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.