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Finding the Fourth Proportional to 30,144.68, 45,217.02 and 10,412.47

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Solution

The fourth proportional to 30,144.68, 45,217.02 and 10,412.47 is: 15,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.68 : 45,217.02 = 10,412.47 : x
  2. Step 2: Convert to fraction form
    30,144.68/45,217.02 = 10,412.47/x
  3. Step 3: Cross multiply
    30,144.68x = 45,217.02 × 10,412.47
  4. Step 4: Simplify right side
    30,144.68x = 470,820,864.24
  5. Step 5: Solve for x
    x = 470,820,864.24/30,144.68
  6. Step 6: Final answer
    x = 15,618.71

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Similar ratio
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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.