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Finding the Fourth Proportional to 87,322.50, 120,505.05 and 47,578.50

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Solution

The fourth proportional to 87,322.50, 120,505.05 and 47,578.50 is: 65,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322.50 : 120,505.05 = 47,578.50 : x
  2. Step 2: Convert to fraction form
    87,322.50/120,505.05 = 47,578.50/x
  3. Step 3: Cross multiply
    87,322.50x = 120,505.05 × 47,578.50
  4. Step 4: Simplify right side
    87,322.50x = 5,733,449,521.43
  5. Step 5: Solve for x
    x = 5,733,449,521.43/87,322.50
  6. Step 6: Final answer
    x = 65,658.33

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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.