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Finding the Fourth Proportional to 159,851.80, 239,432.10 and 142,341.40

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Solution

The fourth proportional to 159,851.80, 239,432.10 and 142,341.40 is: 213,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,851.80 : 239,432.10 = 142,341.40 : x
  2. Step 2: Convert to fraction form
    159,851.80/239,432.10 = 142,341.40/x
  3. Step 3: Cross multiply
    159,851.80x = 239,432.10 × 142,341.40
  4. Step 4: Simplify right side
    159,851.80x = 34,081,100,318.94
  5. Step 5: Solve for x
    x = 34,081,100,318.94/159,851.80
  6. Step 6: Final answer
    x = 213,204.36

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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.