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Finding the Fourth Proportional to 81,642.48, 122,509.08 and 44,202

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Solution

The fourth proportional to 81,642.48, 122,509.08 and 44,202 is: 66,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642.48 : 122,509.08 = 44,202 : x
  2. Step 2: Convert to fraction form
    81,642.48/122,509.08 = 44,202/x
  3. Step 3: Cross multiply
    81,642.48x = 122,509.08 × 44,202
  4. Step 4: Simplify right side
    81,642.48x = 5,415,146,354.16
  5. Step 5: Solve for x
    x = 5,415,146,354.16/81,642.48
  6. Step 6: Final answer
    x = 66,327.56

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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.