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Finding the Fourth Proportional to 75,344, 103,979.59 and 41,810

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Solution

The fourth proportional to 75,344, 103,979.59 and 41,810 is: 57,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344 : 103,979.59 = 41,810 : x
  2. Step 2: Convert to fraction form
    75,344/103,979.59 = 41,810/x
  3. Step 3: Cross multiply
    75,344x = 103,979.59 × 41,810
  4. Step 4: Simplify right side
    75,344x = 4,347,386,657.90
  5. Step 5: Solve for x
    x = 4,347,386,657.90/75,344
  6. Step 6: Final answer
    x = 57,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.