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Finding the Fourth Proportional to 178,863.88, 268,421.54 and 84,098.40

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Solution

The fourth proportional to 178,863.88, 268,421.54 and 84,098.40 is: 126,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,863.88 : 268,421.54 = 84,098.40 : x
  2. Step 2: Convert to fraction form
    178,863.88/268,421.54 = 84,098.40/x
  3. Step 3: Cross multiply
    178,863.88x = 268,421.54 × 84,098.40
  4. Step 4: Simplify right side
    178,863.88x = 22,573,821,619.04
  5. Step 5: Solve for x
    x = 22,573,821,619.04/178,863.88
  6. Step 6: Final answer
    x = 126,206.71

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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.