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Finding the Fourth Proportional to 238,128.84, 357,133.14 and 88,286.76

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Solution

The fourth proportional to 238,128.84, 357,133.14 and 88,286.76 is: 132,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,128.84 : 357,133.14 = 88,286.76 : x
  2. Step 2: Convert to fraction form
    238,128.84/357,133.14 = 88,286.76/x
  3. Step 3: Cross multiply
    238,128.84x = 357,133.14 × 88,286.76
  4. Step 4: Simplify right side
    238,128.84x = 31,530,127,819.23
  5. Step 5: Solve for x
    x = 31,530,127,819.23/238,128.84
  6. Step 6: Final answer
    x = 132,407.85

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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.