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Finding the Fourth Proportional to 81,969, 122,982.66 and 40,445.16

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Solution

The fourth proportional to 81,969, 122,982.66 and 40,445.16 is: 60,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969 : 122,982.66 = 40,445.16 : x
  2. Step 2: Convert to fraction form
    81,969/122,982.66 = 40,445.16/x
  3. Step 3: Cross multiply
    81,969x = 122,982.66 × 40,445.16
  4. Step 4: Simplify right side
    81,969x = 4,974,053,360.93
  5. Step 5: Solve for x
    x = 4,974,053,360.93/81,969
  6. Step 6: Final answer
    x = 60,682.13

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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.