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Finding the Fourth Proportional to 158,400, 237,476.16 and 83,422.08

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Solution

The fourth proportional to 158,400, 237,476.16 and 83,422.08 is: 125,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,400 : 237,476.16 = 83,422.08 : x
  2. Step 2: Convert to fraction form
    158,400/237,476.16 = 83,422.08/x
  3. Step 3: Cross multiply
    158,400x = 237,476.16 × 83,422.08
  4. Step 4: Simplify right side
    158,400x = 19,810,755,217.61
  5. Step 5: Solve for x
    x = 19,810,755,217.61/158,400
  6. Step 6: Final answer
    x = 125,067.90

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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.