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Finding the Fourth Proportional to 87,322.75, 120,505.40 and 47,578.75

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Solution

The fourth proportional to 87,322.75, 120,505.40 and 47,578.75 is: 65,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322.75 : 120,505.40 = 47,578.75 : x
  2. Step 2: Convert to fraction form
    87,322.75/120,505.40 = 47,578.75/x
  3. Step 3: Cross multiply
    87,322.75x = 120,505.40 × 47,578.75
  4. Step 4: Simplify right side
    87,322.75x = 5,733,496,300.25
  5. Step 5: Solve for x
    x = 5,733,496,300.25/87,322.75
  6. Step 6: Final answer
    x = 65,658.68

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1.5x scale

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.