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Finding the Fourth Proportional to 78,122.64, 117,131.88 and 25,513.68

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Solution

The fourth proportional to 78,122.64, 117,131.88 and 25,513.68 is: 38,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.64 : 117,131.88 = 25,513.68 : x
  2. Step 2: Convert to fraction form
    78,122.64/117,131.88 = 25,513.68/x
  3. Step 3: Cross multiply
    78,122.64x = 117,131.88 × 25,513.68
  4. Step 4: Simplify right side
    78,122.64x = 2,988,465,304.12
  5. Step 5: Solve for x
    x = 2,988,465,304.12/78,122.64
  6. Step 6: Final answer
    x = 38,253.51

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1.5x scale

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.