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Finding the Fourth Proportional to 218,815.97, 328,092.53 and 85,537.49

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Solution

The fourth proportional to 218,815.97, 328,092.53 and 85,537.49 is: 128,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,815.97 : 328,092.53 = 85,537.49 : x
  2. Step 2: Convert to fraction form
    218,815.97/328,092.53 = 85,537.49/x
  3. Step 3: Cross multiply
    218,815.97x = 328,092.53 × 85,537.49
  4. Step 4: Simplify right side
    218,815.97x = 28,064,209,435.80
  5. Step 5: Solve for x
    x = 28,064,209,435.80/218,815.97
  6. Step 6: Final answer
    x = 128,254.85

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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.