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Finding the Fourth Proportional to 200,045.60, 299,543.52 and 129,711.68

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Solution

The fourth proportional to 200,045.60, 299,543.52 and 129,711.68 is: 194,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,045.60 : 299,543.52 = 129,711.68 : x
  2. Step 2: Convert to fraction form
    200,045.60/299,543.52 = 129,711.68/x
  3. Step 3: Cross multiply
    200,045.60x = 299,543.52 × 129,711.68
  4. Step 4: Simplify right side
    200,045.60x = 38,854,293,212.31
  5. Step 5: Solve for x
    x = 38,854,293,212.31/200,045.60
  6. Step 6: Final answer
    x = 194,227.18

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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.