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Finding the Fourth Proportional to 87,718, 121,053.72 and 47,974

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Solution

The fourth proportional to 87,718, 121,053.72 and 47,974 is: 66,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,718 : 121,053.72 = 47,974 : x
  2. Step 2: Convert to fraction form
    87,718/121,053.72 = 47,974/x
  3. Step 3: Cross multiply
    87,718x = 121,053.72 × 47,974
  4. Step 4: Simplify right side
    87,718x = 5,807,431,163.28
  5. Step 5: Solve for x
    x = 5,807,431,163.28/87,718
  6. Step 6: Final answer
    x = 66,205.70

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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.