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Finding the Fourth Proportional to 100,292.72, 138,405.66 and 54,969.80

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Solution

The fourth proportional to 100,292.72, 138,405.66 and 54,969.80 is: 75,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.72 : 138,405.66 = 54,969.80 : x
  2. Step 2: Convert to fraction form
    100,292.72/138,405.66 = 54,969.80/x
  3. Step 3: Cross multiply
    100,292.72x = 138,405.66 × 54,969.80
  4. Step 4: Simplify right side
    100,292.72x = 7,608,131,449.07
  5. Step 5: Solve for x
    x = 7,608,131,449.07/100,292.72
  6. Step 6: Final answer
    x = 75,859.26

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1.5x scale

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.