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Finding the Fourth Proportional to 75,344.14, 103,978.17 and 45,134.38

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Solution

The fourth proportional to 75,344.14, 103,978.17 and 45,134.38 is: 62,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344.14 : 103,978.17 = 45,134.38 : x
  2. Step 2: Convert to fraction form
    75,344.14/103,978.17 = 45,134.38/x
  3. Step 3: Cross multiply
    75,344.14x = 103,978.17 × 45,134.38
  4. Step 4: Simplify right side
    75,344.14x = 4,692,989,490.92
  5. Step 5: Solve for x
    x = 4,692,989,490.92/75,344.14
  6. Step 6: Final answer
    x = 62,287.39

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1.5x scale

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.