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Finding the Fourth Proportional to 71,646.76, 107,456.14 and 68,090.55

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Solution

The fourth proportional to 71,646.76, 107,456.14 and 68,090.55 is: 102,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.76 : 107,456.14 = 68,090.55 : x
  2. Step 2: Convert to fraction form
    71,646.76/107,456.14 = 68,090.55/x
  3. Step 3: Cross multiply
    71,646.76x = 107,456.14 × 68,090.55
  4. Step 4: Simplify right side
    71,646.76x = 7,316,747,673.48
  5. Step 5: Solve for x
    x = 7,316,747,673.48/71,646.76
  6. Step 6: Final answer
    x = 102,122.52

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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.