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Finding the Fourth Proportional to 218,257.92, 327,363.84 and 78,013.44

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Solution

The fourth proportional to 218,257.92, 327,363.84 and 78,013.44 is: 117,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,257.92 : 327,363.84 = 78,013.44 : x
  2. Step 2: Convert to fraction form
    218,257.92/327,363.84 = 78,013.44/x
  3. Step 3: Cross multiply
    218,257.92x = 327,363.84 × 78,013.44
  4. Step 4: Simplify right side
    218,257.92x = 25,538,779,290.01
  5. Step 5: Solve for x
    x = 25,538,779,290.01/218,257.92
  6. Step 6: Final answer
    x = 117,011.92

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1.5x scale

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.