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Finding the Fourth Proportional to 218,777.20, 328,165.83 and 52,565.20

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Solution

The fourth proportional to 218,777.20, 328,165.83 and 52,565.20 is: 78,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,777.20 : 328,165.83 = 52,565.20 : x
  2. Step 2: Convert to fraction form
    218,777.20/328,165.83 = 52,565.20/x
  3. Step 3: Cross multiply
    218,777.20x = 328,165.83 × 52,565.20
  4. Step 4: Simplify right side
    218,777.20x = 17,250,103,512.63
  5. Step 5: Solve for x
    x = 17,250,103,512.63/218,777.20
  6. Step 6: Final answer
    x = 78,847.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.