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Finding the Fourth Proportional to 100,047.56, 138,067.62 and 57,612.20

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Solution

The fourth proportional to 100,047.56, 138,067.62 and 57,612.20 is: 79,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.56 : 138,067.62 = 57,612.20 : x
  2. Step 2: Convert to fraction form
    100,047.56/138,067.62 = 57,612.20/x
  3. Step 3: Cross multiply
    100,047.56x = 138,067.62 × 57,612.20
  4. Step 4: Simplify right side
    100,047.56x = 7,954,379,336.96
  5. Step 5: Solve for x
    x = 7,954,379,336.96/100,047.56
  6. Step 6: Final answer
    x = 79,505.98

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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.