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Finding the Fourth Proportional to 100,414.81, 138,469.06 and 70,189.05

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Solution

The fourth proportional to 100,414.81, 138,469.06 and 70,189.05 is: 96,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.81 : 138,469.06 = 70,189.05 : x
  2. Step 2: Convert to fraction form
    100,414.81/138,469.06 = 70,189.05/x
  3. Step 3: Cross multiply
    100,414.81x = 138,469.06 × 70,189.05
  4. Step 4: Simplify right side
    100,414.81x = 9,719,011,775.79
  5. Step 5: Solve for x
    x = 9,719,011,775.79/100,414.81
  6. Step 6: Final answer
    x = 96,788.63

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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.