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Finding the Fourth Proportional to 75,994.38, 104,872.12 and 42,002.50

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Solution

The fourth proportional to 75,994.38, 104,872.12 and 42,002.50 is: 57,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,994.38 : 104,872.12 = 42,002.50 : x
  2. Step 2: Convert to fraction form
    75,994.38/104,872.12 = 42,002.50/x
  3. Step 3: Cross multiply
    75,994.38x = 104,872.12 × 42,002.50
  4. Step 4: Simplify right side
    75,994.38x = 4,404,891,381.57
  5. Step 5: Solve for x
    x = 4,404,891,381.57/75,994.38
  6. Step 6: Final answer
    x = 57,963.39

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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.