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Finding the Fourth Proportional to 71,687, 107,480.28 and 33,714.20

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Solution

The fourth proportional to 71,687, 107,480.28 and 33,714.20 is: 50,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687 : 107,480.28 = 33,714.20 : x
  2. Step 2: Convert to fraction form
    71,687/107,480.28 = 33,714.20/x
  3. Step 3: Cross multiply
    71,687x = 107,480.28 × 33,714.20
  4. Step 4: Simplify right side
    71,687x = 3,623,611,655.98
  5. Step 5: Solve for x
    x = 3,623,611,655.98/71,687
  6. Step 6: Final answer
    x = 50,547.68

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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.