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Finding the Fourth Proportional to 121,646.80, 182,414.31 and 67,576.87

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Solution

The fourth proportional to 121,646.80, 182,414.31 and 67,576.87 is: 101,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,646.80 : 182,414.31 = 67,576.87 : x
  2. Step 2: Convert to fraction form
    121,646.80/182,414.31 = 67,576.87/x
  3. Step 3: Cross multiply
    121,646.80x = 182,414.31 × 67,576.87
  4. Step 4: Simplify right side
    121,646.80x = 12,326,988,113.01
  5. Step 5: Solve for x
    x = 12,326,988,113.01/121,646.80
  6. Step 6: Final answer
    x = 101,334.26

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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.