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Finding the Fourth Proportional to 159,820.80, 239,414.40 and 140,121.60

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Solution

The fourth proportional to 159,820.80, 239,414.40 and 140,121.60 is: 209,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,820.80 : 239,414.40 = 140,121.60 : x
  2. Step 2: Convert to fraction form
    159,820.80/239,414.40 = 140,121.60/x
  3. Step 3: Cross multiply
    159,820.80x = 239,414.40 × 140,121.60
  4. Step 4: Simplify right side
    159,820.80x = 33,547,128,791.04
  5. Step 5: Solve for x
    x = 33,547,128,791.04/159,820.80
  6. Step 6: Final answer
    x = 209,904.65

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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.