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Finding the Fourth Proportional to 100,082.52, 138,036.94 and 69,858.20

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Solution

The fourth proportional to 100,082.52, 138,036.94 and 69,858.20 is: 96,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.52 : 138,036.94 = 69,858.20 : x
  2. Step 2: Convert to fraction form
    100,082.52/138,036.94 = 69,858.20/x
  3. Step 3: Cross multiply
    100,082.52x = 138,036.94 × 69,858.20
  4. Step 4: Simplify right side
    100,082.52x = 9,643,012,161.91
  5. Step 5: Solve for x
    x = 9,643,012,161.91/100,082.52
  6. Step 6: Final answer
    x = 96,350.61

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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.