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Finding the Fourth Proportional to 102,649.43, 153,859.14 and 67,179.02

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Solution

The fourth proportional to 102,649.43, 153,859.14 and 67,179.02 is: 100,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.43 : 153,859.14 = 67,179.02 : x
  2. Step 2: Convert to fraction form
    102,649.43/153,859.14 = 67,179.02/x
  3. Step 3: Cross multiply
    102,649.43x = 153,859.14 × 67,179.02
  4. Step 4: Simplify right side
    102,649.43x = 10,336,105,473.95
  5. Step 5: Solve for x
    x = 10,336,105,473.95/102,649.43
  6. Step 6: Final answer
    x = 100,693.26

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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.