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Finding the Fourth Proportional to 75,878.38, 104,717.01 and 42,344.38

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Solution

The fourth proportional to 75,878.38, 104,717.01 and 42,344.38 is: 58,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.38 : 104,717.01 = 42,344.38 : x
  2. Step 2: Convert to fraction form
    75,878.38/104,717.01 = 42,344.38/x
  3. Step 3: Cross multiply
    75,878.38x = 104,717.01 × 42,344.38
  4. Step 4: Simplify right side
    75,878.38x = 4,434,176,863.90
  5. Step 5: Solve for x
    x = 4,434,176,863.90/75,878.38
  6. Step 6: Final answer
    x = 58,437.95

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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.