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Finding the Fourth Proportional to 98,662.11, 147,968.54 and 38,702.78

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Solution

The fourth proportional to 98,662.11, 147,968.54 and 38,702.78 is: 58,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,662.11 : 147,968.54 = 38,702.78 : x
  2. Step 2: Convert to fraction form
    98,662.11/147,968.54 = 38,702.78/x
  3. Step 3: Cross multiply
    98,662.11x = 147,968.54 × 38,702.78
  4. Step 4: Simplify right side
    98,662.11x = 5,726,793,850.54
  5. Step 5: Solve for x
    x = 5,726,793,850.54/98,662.11
  6. Step 6: Final answer
    x = 58,044.51

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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.