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Finding the Fourth Proportional to 78,654.42, 117,934.98 and 31,244.04

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Solution

The fourth proportional to 78,654.42, 117,934.98 and 31,244.04 is: 46,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.42 : 117,934.98 = 31,244.04 : x
  2. Step 2: Convert to fraction form
    78,654.42/117,934.98 = 31,244.04/x
  3. Step 3: Cross multiply
    78,654.42x = 117,934.98 × 31,244.04
  4. Step 4: Simplify right side
    78,654.42x = 3,684,765,232.52
  5. Step 5: Solve for x
    x = 3,684,765,232.52/78,654.42
  6. Step 6: Final answer
    x = 46,847.53

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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.