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Finding the Fourth Proportional to 102,686.92, 153,963.96 and 67,519.96

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Solution

The fourth proportional to 102,686.92, 153,963.96 and 67,519.96 is: 101,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.92 : 153,963.96 = 67,519.96 : x
  2. Step 2: Convert to fraction form
    102,686.92/153,963.96 = 67,519.96/x
  3. Step 3: Cross multiply
    102,686.92x = 153,963.96 × 67,519.96
  4. Step 4: Simplify right side
    102,686.92x = 10,395,640,420.64
  5. Step 5: Solve for x
    x = 10,395,640,420.64/102,686.92
  6. Step 6: Final answer
    x = 101,236.27

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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.