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Finding the Fourth Proportional to 100,331.64, 138,459.22 and 55,013.76

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Solution

The fourth proportional to 100,331.64, 138,459.22 and 55,013.76 is: 75,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331.64 : 138,459.22 = 55,013.76 : x
  2. Step 2: Convert to fraction form
    100,331.64/138,459.22 = 55,013.76/x
  3. Step 3: Cross multiply
    100,331.64x = 138,459.22 × 55,013.76
  4. Step 4: Simplify right side
    100,331.64x = 7,617,162,298.87
  5. Step 5: Solve for x
    x = 7,617,162,298.87/100,331.64
  6. Step 6: Final answer
    x = 75,919.84

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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.