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Finding the Fourth Proportional to 238,080.96, 357,111.20 and 71,864

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Solution

The fourth proportional to 238,080.96, 357,111.20 and 71,864 is: 107,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,080.96 : 357,111.20 = 71,864 : x
  2. Step 2: Convert to fraction form
    238,080.96/357,111.20 = 71,864/x
  3. Step 3: Cross multiply
    238,080.96x = 357,111.20 × 71,864
  4. Step 4: Simplify right side
    238,080.96x = 25,663,439,276.80
  5. Step 5: Solve for x
    x = 25,663,439,276.80/238,080.96
  6. Step 6: Final answer
    x = 107,792.91

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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.