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Finding the Fourth Proportional to 78,691.68, 118,012.14 and 31,291.02

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Solution

The fourth proportional to 78,691.68, 118,012.14 and 31,291.02 is: 46,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,691.68 : 118,012.14 = 31,291.02 : x
  2. Step 2: Convert to fraction form
    78,691.68/118,012.14 = 31,291.02/x
  3. Step 3: Cross multiply
    78,691.68x = 118,012.14 × 31,291.02
  4. Step 4: Simplify right side
    78,691.68x = 3,692,720,232.98
  5. Step 5: Solve for x
    x = 3,692,720,232.98/78,691.68
  6. Step 6: Final answer
    x = 46,926.44

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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.