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Finding the Fourth Proportional to 87,218.58, 120,380.37 and 53,219.76

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Solution

The fourth proportional to 87,218.58, 120,380.37 and 53,219.76 is: 73,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218.58 : 120,380.37 = 53,219.76 : x
  2. Step 2: Convert to fraction form
    87,218.58/120,380.37 = 53,219.76/x
  3. Step 3: Cross multiply
    87,218.58x = 120,380.37 × 53,219.76
  4. Step 4: Simplify right side
    87,218.58x = 6,406,614,400.11
  5. Step 5: Solve for x
    x = 6,406,614,400.11/87,218.58
  6. Step 6: Final answer
    x = 73,454.70

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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.