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Finding the Fourth Proportional to 78,425.97, 117,642.60 and 25,835.91

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Solution

The fourth proportional to 78,425.97, 117,642.60 and 25,835.91 is: 38,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,425.97 : 117,642.60 = 25,835.91 : x
  2. Step 2: Convert to fraction form
    78,425.97/117,642.60 = 25,835.91/x
  3. Step 3: Cross multiply
    78,425.97x = 117,642.60 × 25,835.91
  4. Step 4: Simplify right side
    78,425.97x = 3,039,403,919.01
  5. Step 5: Solve for x
    x = 3,039,403,919.01/78,425.97
  6. Step 6: Final answer
    x = 38,755.07

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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.