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Finding the Fourth Proportional to 218,782.42, 328,042.31 and 85,503.90

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Solution

The fourth proportional to 218,782.42, 328,042.31 and 85,503.90 is: 128,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,782.42 : 328,042.31 = 85,503.90 : x
  2. Step 2: Convert to fraction form
    218,782.42/328,042.31 = 85,503.90/x
  3. Step 3: Cross multiply
    218,782.42x = 328,042.31 × 85,503.90
  4. Step 4: Simplify right side
    218,782.42x = 28,048,897,672.65
  5. Step 5: Solve for x
    x = 28,048,897,672.65/218,782.42
  6. Step 6: Final answer
    x = 128,204.53

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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.