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Finding the Fourth Proportional to 95,311.32, 142,874.04 and 45,378

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Solution

The fourth proportional to 95,311.32, 142,874.04 and 45,378 is: 68,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,311.32 : 142,874.04 = 45,378 : x
  2. Step 2: Convert to fraction form
    95,311.32/142,874.04 = 45,378/x
  3. Step 3: Cross multiply
    95,311.32x = 142,874.04 × 45,378
  4. Step 4: Simplify right side
    95,311.32x = 6,483,338,187.12
  5. Step 5: Solve for x
    x = 6,483,338,187.12/95,311.32
  6. Step 6: Final answer
    x = 68,022.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.