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Finding the Fourth Proportional to 218,776.56, 328,134.96 and 85,749.78

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Solution

The fourth proportional to 218,776.56, 328,134.96 and 85,749.78 is: 128,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776.56 : 328,134.96 = 85,749.78 : x
  2. Step 2: Convert to fraction form
    218,776.56/328,134.96 = 85,749.78/x
  3. Step 3: Cross multiply
    218,776.56x = 328,134.96 × 85,749.78
  4. Step 4: Simplify right side
    218,776.56x = 28,137,500,630.31
  5. Step 5: Solve for x
    x = 28,137,500,630.31/218,776.56
  6. Step 6: Final answer
    x = 128,612.96

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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.