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Finding the Fourth Proportional to 55,117.85, 82,695.22 and 21,847.42

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Solution

The fourth proportional to 55,117.85, 82,695.22 and 21,847.42 is: 32,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117.85 : 82,695.22 = 21,847.42 : x
  2. Step 2: Convert to fraction form
    55,117.85/82,695.22 = 21,847.42/x
  3. Step 3: Cross multiply
    55,117.85x = 82,695.22 × 21,847.42
  4. Step 4: Simplify right side
    55,117.85x = 1,806,677,252.08
  5. Step 5: Solve for x
    x = 1,806,677,252.08/55,117.85
  6. Step 6: Final answer
    x = 32,778.45

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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.