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Finding the Fourth Proportional to 100,057.38, 149,919.39 and 70,412.88

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Solution

The fourth proportional to 100,057.38, 149,919.39 and 70,412.88 is: 105,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,057.38 : 149,919.39 = 70,412.88 : x
  2. Step 2: Convert to fraction form
    100,057.38/149,919.39 = 70,412.88/x
  3. Step 3: Cross multiply
    100,057.38x = 149,919.39 × 70,412.88
  4. Step 4: Simplify right side
    100,057.38x = 10,556,256,017.74
  5. Step 5: Solve for x
    x = 10,556,256,017.74/100,057.38
  6. Step 6: Final answer
    x = 105,502.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.