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Finding the Fourth Proportional to 218,841.55, 328,291.00 and 85,704.51

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Solution

The fourth proportional to 218,841.55, 328,291.00 and 85,704.51 is: 128,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,841.55 : 328,291.00 = 85,704.51 : x
  2. Step 2: Convert to fraction form
    218,841.55/328,291.00 = 85,704.51/x
  3. Step 3: Cross multiply
    218,841.55x = 328,291.00 × 85,704.51
  4. Step 4: Simplify right side
    218,841.55x = 28,136,017,780.33
  5. Step 5: Solve for x
    x = 28,136,017,780.33/218,841.55
  6. Step 6: Final answer
    x = 128,567.99

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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.