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Finding the Fourth Proportional to 133,780.33, 200,701.21 and 45,031.47

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Solution

The fourth proportional to 133,780.33, 200,701.21 and 45,031.47 is: 67,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.33 : 200,701.21 = 45,031.47 : x
  2. Step 2: Convert to fraction form
    133,780.33/200,701.21 = 45,031.47/x
  3. Step 3: Cross multiply
    133,780.33x = 200,701.21 × 45,031.47
  4. Step 4: Simplify right side
    133,780.33x = 9,037,870,517.08
  5. Step 5: Solve for x
    x = 9,037,870,517.08/133,780.33
  6. Step 6: Final answer
    x = 67,557.54

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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.