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Finding the Fourth Proportional to 81,750, 122,558.22 and 42,318.48

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Solution

The fourth proportional to 81,750, 122,558.22 and 42,318.48 is: 63,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,750 : 122,558.22 = 42,318.48 : x
  2. Step 2: Convert to fraction form
    81,750/122,558.22 = 42,318.48/x
  3. Step 3: Cross multiply
    81,750x = 122,558.22 × 42,318.48
  4. Step 4: Simplify right side
    81,750x = 5,186,477,581.91
  5. Step 5: Solve for x
    x = 5,186,477,581.91/81,750
  6. Step 6: Final answer
    x = 63,443.15

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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.