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Finding the Fourth Proportional to 81,802, 122,731.80 and 40,278.16

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Solution

The fourth proportional to 81,802, 122,731.80 and 40,278.16 is: 60,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802 : 122,731.80 = 40,278.16 : x
  2. Step 2: Convert to fraction form
    81,802/122,731.80 = 40,278.16/x
  3. Step 3: Cross multiply
    81,802x = 122,731.80 × 40,278.16
  4. Step 4: Simplify right side
    81,802x = 4,943,411,077.49
  5. Step 5: Solve for x
    x = 4,943,411,077.49/81,802
  6. Step 6: Final answer
    x = 60,431.42

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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.