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Finding the Fourth Proportional to 78,772.52, 118,111.26 and 31,394.90

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Solution

The fourth proportional to 78,772.52, 118,111.26 and 31,394.90 is: 47,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.52 : 118,111.26 = 31,394.90 : x
  2. Step 2: Convert to fraction form
    78,772.52/118,111.26 = 31,394.90/x
  3. Step 3: Cross multiply
    78,772.52x = 118,111.26 × 31,394.90
  4. Step 4: Simplify right side
    78,772.52x = 3,708,091,196.57
  5. Step 5: Solve for x
    x = 3,708,091,196.57/78,772.52
  6. Step 6: Final answer
    x = 47,073.41

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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.