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Finding the Fourth Proportional to 81,839.80, 122,468.10 and 56,762.20

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Solution

The fourth proportional to 81,839.80, 122,468.10 and 56,762.20 is: 84,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,839.80 : 122,468.10 = 56,762.20 : x
  2. Step 2: Convert to fraction form
    81,839.80/122,468.10 = 56,762.20/x
  3. Step 3: Cross multiply
    81,839.80x = 122,468.10 × 56,762.20
  4. Step 4: Simplify right side
    81,839.80x = 6,951,558,785.82
  5. Step 5: Solve for x
    x = 6,951,558,785.82/81,839.80
  6. Step 6: Final answer
    x = 84,941.05

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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.