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Finding the Fourth Proportional to 238,227.90, 357,265.98 and 78,266.70

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Solution

The fourth proportional to 238,227.90, 357,265.98 and 78,266.70 is: 117,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,227.90 : 357,265.98 = 78,266.70 : x
  2. Step 2: Convert to fraction form
    238,227.90/357,265.98 = 78,266.70/x
  3. Step 3: Cross multiply
    238,227.90x = 357,265.98 × 78,266.70
  4. Step 4: Simplify right side
    238,227.90x = 27,962,029,276.87
  5. Step 5: Solve for x
    x = 27,962,029,276.87/238,227.90
  6. Step 6: Final answer
    x = 117,375.12

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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.