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Finding the Fourth Proportional to 81,442.56, 122,178.42 and 41,989.08

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Solution

The fourth proportional to 81,442.56, 122,178.42 and 41,989.08 is: 62,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,442.56 : 122,178.42 = 41,989.08 : x
  2. Step 2: Convert to fraction form
    81,442.56/122,178.42 = 41,989.08/x
  3. Step 3: Cross multiply
    81,442.56x = 122,178.42 × 41,989.08
  4. Step 4: Simplify right side
    81,442.56x = 5,130,159,451.65
  5. Step 5: Solve for x
    x = 5,130,159,451.65/81,442.56
  6. Step 6: Final answer
    x = 62,991.14

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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.