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Finding the Fourth Proportional to 218,801.94, 328,261.25 and 78,561.78

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Solution

The fourth proportional to 218,801.94, 328,261.25 and 78,561.78 is: 117,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,801.94 : 328,261.25 = 78,561.78 : x
  2. Step 2: Convert to fraction form
    218,801.94/328,261.25 = 78,561.78/x
  3. Step 3: Cross multiply
    218,801.94x = 328,261.25 × 78,561.78
  4. Step 4: Simplify right side
    218,801.94x = 25,788,788,105.03
  5. Step 5: Solve for x
    x = 25,788,788,105.03/218,801.94
  6. Step 6: Final answer
    x = 117,863.62

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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.