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Finding the Fourth Proportional to 142,001.91, 195,963.30 and 78,339.69

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Solution

The fourth proportional to 142,001.91, 195,963.30 and 78,339.69 is: 108,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,001.91 : 195,963.30 = 78,339.69 : x
  2. Step 2: Convert to fraction form
    142,001.91/195,963.30 = 78,339.69/x
  3. Step 3: Cross multiply
    142,001.91x = 195,963.30 × 78,339.69
  4. Step 4: Simplify right side
    142,001.91x = 15,351,704,173.38
  5. Step 5: Solve for x
    x = 15,351,704,173.38/142,001.91
  6. Step 6: Final answer
    x = 108,109.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.