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Finding the Fourth Proportional to 200,614.77, 300,294.59 and 129,442.19

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Solution

The fourth proportional to 200,614.77, 300,294.59 and 129,442.19 is: 193,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614.77 : 300,294.59 = 129,442.19 : x
  2. Step 2: Convert to fraction form
    200,614.77/300,294.59 = 129,442.19/x
  3. Step 3: Cross multiply
    200,614.77x = 300,294.59 × 129,442.19
  4. Step 4: Simplify right side
    200,614.77x = 38,870,787,226.07
  5. Step 5: Solve for x
    x = 38,870,787,226.07/200,614.77
  6. Step 6: Final answer
    x = 193,758.35

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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.