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Finding the Fourth Proportional to 238,557.62, 357,880.28 and 78,642.97

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Solution

The fourth proportional to 238,557.62, 357,880.28 and 78,642.97 is: 117,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,557.62 : 357,880.28 = 78,642.97 : x
  2. Step 2: Convert to fraction form
    238,557.62/357,880.28 = 78,642.97/x
  3. Step 3: Cross multiply
    238,557.62x = 357,880.28 × 78,642.97
  4. Step 4: Simplify right side
    238,557.62x = 28,144,766,835.72
  5. Step 5: Solve for x
    x = 28,144,766,835.72/238,557.62
  6. Step 6: Final answer
    x = 117,978.90

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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.