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Finding the Fourth Proportional to 78,279.64, 117,418.10 and 31,531.32

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Solution

The fourth proportional to 78,279.64, 117,418.10 and 31,531.32 is: 47,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,279.64 : 117,418.10 = 31,531.32 : x
  2. Step 2: Convert to fraction form
    78,279.64/117,418.10 = 31,531.32/x
  3. Step 3: Cross multiply
    78,279.64x = 117,418.10 × 31,531.32
  4. Step 4: Simplify right side
    78,279.64x = 3,702,347,684.89
  5. Step 5: Solve for x
    x = 3,702,347,684.89/78,279.64
  6. Step 6: Final answer
    x = 47,296.43

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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.