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Finding the Fourth Proportional to 238,127.40, 357,204.78 and 86,357.52

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Solution

The fourth proportional to 238,127.40, 357,204.78 and 86,357.52 is: 129,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,127.40 : 357,204.78 = 86,357.52 : x
  2. Step 2: Convert to fraction form
    238,127.40/357,204.78 = 86,357.52/x
  3. Step 3: Cross multiply
    238,127.40x = 357,204.78 × 86,357.52
  4. Step 4: Simplify right side
    238,127.40x = 30,847,318,932.95
  5. Step 5: Solve for x
    x = 30,847,318,932.95/238,127.40
  6. Step 6: Final answer
    x = 129,541.24

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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.