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Finding the Fourth Proportional to 276,044.10, 414,066.21 and 86,504.43

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Solution

The fourth proportional to 276,044.10, 414,066.21 and 86,504.43 is: 129,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,044.10 : 414,066.21 = 86,504.43 : x
  2. Step 2: Convert to fraction form
    276,044.10/414,066.21 = 86,504.43/x
  3. Step 3: Cross multiply
    276,044.10x = 414,066.21 × 86,504.43
  4. Step 4: Simplify right side
    276,044.10x = 35,818,561,478.31
  5. Step 5: Solve for x
    x = 35,818,561,478.31/276,044.10
  6. Step 6: Final answer
    x = 129,756.66

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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.