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Finding the Fourth Proportional to 87,309.04, 120,480.04 and 49,576

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Solution

The fourth proportional to 87,309.04, 120,480.04 and 49,576 is: 68,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309.04 : 120,480.04 = 49,576 : x
  2. Step 2: Convert to fraction form
    87,309.04/120,480.04 = 49,576/x
  3. Step 3: Cross multiply
    87,309.04x = 120,480.04 × 49,576
  4. Step 4: Simplify right side
    87,309.04x = 5,972,918,463.04
  5. Step 5: Solve for x
    x = 5,972,918,463.04/87,309.04
  6. Step 6: Final answer
    x = 68,411.23

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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.