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Finding the Fourth Proportional to 147,515.80, 221,076 and 138,067.96

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Solution

The fourth proportional to 147,515.80, 221,076 and 138,067.96 is: 206,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,515.80 : 221,076 = 138,067.96 : x
  2. Step 2: Convert to fraction form
    147,515.80/221,076 = 138,067.96/x
  3. Step 3: Cross multiply
    147,515.80x = 221,076 × 138,067.96
  4. Step 4: Simplify right side
    147,515.80x = 30,523,512,324.96
  5. Step 5: Solve for x
    x = 30,523,512,324.96/147,515.80
  6. Step 6: Final answer
    x = 206,916.90

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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.