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Finding the Fourth Proportional to 68,414.39, 102,654.08 and 47,386.79

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Solution

The fourth proportional to 68,414.39, 102,654.08 and 47,386.79 is: 71,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,414.39 : 102,654.08 = 47,386.79 : x
  2. Step 2: Convert to fraction form
    68,414.39/102,654.08 = 47,386.79/x
  3. Step 3: Cross multiply
    68,414.39x = 102,654.08 × 47,386.79
  4. Step 4: Simplify right side
    68,414.39x = 4,864,447,331.60
  5. Step 5: Solve for x
    x = 4,864,447,331.60/68,414.39
  6. Step 6: Final answer
    x = 71,102.69

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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.