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Finding the Fourth Proportional to 81,937.78, 122,884.80 and 22,776.69

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Solution

The fourth proportional to 81,937.78, 122,884.80 and 22,776.69 is: 34,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,937.78 : 122,884.80 = 22,776.69 : x
  2. Step 2: Convert to fraction form
    81,937.78/122,884.80 = 22,776.69/x
  3. Step 3: Cross multiply
    81,937.78x = 122,884.80 × 22,776.69
  4. Step 4: Simplify right side
    81,937.78x = 2,798,909,370.72
  5. Step 5: Solve for x
    x = 2,798,909,370.72/81,937.78
  6. Step 6: Final answer
    x = 34,158.96

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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.