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Finding the Fourth Proportional to 100,382.80, 138,528.48 and 55,061.20

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Solution

The fourth proportional to 100,382.80, 138,528.48 and 55,061.20 is: 75,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.80 : 138,528.48 = 55,061.20 : x
  2. Step 2: Convert to fraction form
    100,382.80/138,528.48 = 55,061.20/x
  3. Step 3: Cross multiply
    100,382.80x = 138,528.48 × 55,061.20
  4. Step 4: Simplify right side
    100,382.80x = 7,627,544,342.98
  5. Step 5: Solve for x
    x = 7,627,544,342.98/100,382.80
  6. Step 6: Final answer
    x = 75,984.57

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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.