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Finding the Fourth Proportional to 73,821.66, 101,872.47 and 40,287.90

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Solution

The fourth proportional to 73,821.66, 101,872.47 and 40,287.90 is: 55,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.66 : 101,872.47 = 40,287.90 : x
  2. Step 2: Convert to fraction form
    73,821.66/101,872.47 = 40,287.90/x
  3. Step 3: Cross multiply
    73,821.66x = 101,872.47 × 40,287.90
  4. Step 4: Simplify right side
    73,821.66x = 4,104,227,884.11
  5. Step 5: Solve for x
    x = 4,104,227,884.11/73,821.66
  6. Step 6: Final answer
    x = 55,596.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.