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Finding the Fourth Proportional to 71,671.78, 107,468.18 and 34,241.28

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Solution

The fourth proportional to 71,671.78, 107,468.18 and 34,241.28 is: 51,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,671.78 : 107,468.18 = 34,241.28 : x
  2. Step 2: Convert to fraction form
    71,671.78/107,468.18 = 34,241.28/x
  3. Step 3: Cross multiply
    71,671.78x = 107,468.18 × 34,241.28
  4. Step 4: Simplify right side
    71,671.78x = 3,679,848,042.47
  5. Step 5: Solve for x
    x = 3,679,848,042.47/71,671.78
  6. Step 6: Final answer
    x = 51,343.05

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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.