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Finding the Fourth Proportional to 87,378, 120,581.64 and 47,634

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Solution

The fourth proportional to 87,378, 120,581.64 and 47,634 is: 65,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378 : 120,581.64 = 47,634 : x
  2. Step 2: Convert to fraction form
    87,378/120,581.64 = 47,634/x
  3. Step 3: Cross multiply
    87,378x = 120,581.64 × 47,634
  4. Step 4: Simplify right side
    87,378x = 5,743,785,839.76
  5. Step 5: Solve for x
    x = 5,743,785,839.76/87,378
  6. Step 6: Final answer
    x = 65,734.92

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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.