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Finding the Fourth Proportional to 100,288.66, 138,399.43 and 54,965.66

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Solution

The fourth proportional to 100,288.66, 138,399.43 and 54,965.66 is: 75,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.66 : 138,399.43 = 54,965.66 : x
  2. Step 2: Convert to fraction form
    100,288.66/138,399.43 = 54,965.66/x
  3. Step 3: Cross multiply
    100,288.66x = 138,399.43 × 54,965.66
  4. Step 4: Simplify right side
    100,288.66x = 7,607,216,013.57
  5. Step 5: Solve for x
    x = 7,607,216,013.57/100,288.66
  6. Step 6: Final answer
    x = 75,853.20

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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.