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Finding the Fourth Proportional to 75,138.16, 103,686.52 and 41,602

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Solution

The fourth proportional to 75,138.16, 103,686.52 and 41,602 is: 57,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.16 : 103,686.52 = 41,602 : x
  2. Step 2: Convert to fraction form
    75,138.16/103,686.52 = 41,602/x
  3. Step 3: Cross multiply
    75,138.16x = 103,686.52 × 41,602
  4. Step 4: Simplify right side
    75,138.16x = 4,313,566,605.04
  5. Step 5: Solve for x
    x = 4,313,566,605.04/75,138.16
  6. Step 6: Final answer
    x = 57,408.47

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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.