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Finding the Fourth Proportional to 75,139.16, 103,687.90 and 41,603

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Solution

The fourth proportional to 75,139.16, 103,687.90 and 41,603 is: 57,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.16 : 103,687.90 = 41,603 : x
  2. Step 2: Convert to fraction form
    75,139.16/103,687.90 = 41,603/x
  3. Step 3: Cross multiply
    75,139.16x = 103,687.90 × 41,603
  4. Step 4: Simplify right side
    75,139.16x = 4,313,727,703.70
  5. Step 5: Solve for x
    x = 4,313,727,703.70/75,139.16
  6. Step 6: Final answer
    x = 57,409.85

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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.