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Finding the Fourth Proportional to 200,542.53, 300,611.10 and 125,715.19

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Solution

The fourth proportional to 200,542.53, 300,611.10 and 125,715.19 is: 188,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,542.53 : 300,611.10 = 125,715.19 : x
  2. Step 2: Convert to fraction form
    200,542.53/300,611.10 = 125,715.19/x
  3. Step 3: Cross multiply
    200,542.53x = 300,611.10 × 125,715.19
  4. Step 4: Simplify right side
    200,542.53x = 37,791,381,129.01
  5. Step 5: Solve for x
    x = 37,791,381,129.01/200,542.53
  6. Step 6: Final answer
    x = 188,445.71

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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.