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Finding the Fourth Proportional to 100,682.49, 138,944.86 and 55,358.13

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Solution

The fourth proportional to 100,682.49, 138,944.86 and 55,358.13 is: 76,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.49 : 138,944.86 = 55,358.13 : x
  2. Step 2: Convert to fraction form
    100,682.49/138,944.86 = 55,358.13/x
  3. Step 3: Cross multiply
    100,682.49x = 138,944.86 × 55,358.13
  4. Step 4: Simplify right side
    100,682.49x = 7,691,727,622.71
  5. Step 5: Solve for x
    x = 7,691,727,622.71/100,682.49
  6. Step 6: Final answer
    x = 76,395.88

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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.