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Finding the Fourth Proportional to 159,306.10, 238,959.12 and 65,814.28

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Solution

The fourth proportional to 159,306.10, 238,959.12 and 65,814.28 is: 98,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,306.10 : 238,959.12 = 65,814.28 : x
  2. Step 2: Convert to fraction form
    159,306.10/238,959.12 = 65,814.28/x
  3. Step 3: Cross multiply
    159,306.10x = 238,959.12 × 65,814.28
  4. Step 4: Simplify right side
    159,306.10x = 15,726,921,237.44
  5. Step 5: Solve for x
    x = 15,726,921,237.44/159,306.10
  6. Step 6: Final answer
    x = 98,721.40

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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.