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Finding the Fourth Proportional to 87,565.40, 120,846.40 and 49,839.64

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Solution

The fourth proportional to 87,565.40, 120,846.40 and 49,839.64 is: 68,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,565.40 : 120,846.40 = 49,839.64 : x
  2. Step 2: Convert to fraction form
    87,565.40/120,846.40 = 49,839.64/x
  3. Step 3: Cross multiply
    87,565.40x = 120,846.40 × 49,839.64
  4. Step 4: Simplify right side
    87,565.40x = 6,022,941,071.30
  5. Step 5: Solve for x
    x = 6,022,941,071.30/87,565.40
  6. Step 6: Final answer
    x = 68,782.20

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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.