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Finding the Fourth Proportional to 218,843.05, 328,293.25 and 85,706.01

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Solution

The fourth proportional to 218,843.05, 328,293.25 and 85,706.01 is: 128,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,843.05 : 328,293.25 = 85,706.01 : x
  2. Step 2: Convert to fraction form
    218,843.05/328,293.25 = 85,706.01/x
  3. Step 3: Cross multiply
    218,843.05x = 328,293.25 × 85,706.01
  4. Step 4: Simplify right side
    218,843.05x = 28,136,704,567.43
  5. Step 5: Solve for x
    x = 28,136,704,567.43/218,843.05
  6. Step 6: Final answer
    x = 128,570.25

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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.