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Finding the Fourth Proportional to 51,207.40, 76,811.10 and 30,212.20

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Solution

The fourth proportional to 51,207.40, 76,811.10 and 30,212.20 is: 45,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.40 : 76,811.10 = 30,212.20 : x
  2. Step 2: Convert to fraction form
    51,207.40/76,811.10 = 30,212.20/x
  3. Step 3: Cross multiply
    51,207.40x = 76,811.10 × 30,212.20
  4. Step 4: Simplify right side
    51,207.40x = 2,320,632,315.42
  5. Step 5: Solve for x
    x = 2,320,632,315.42/51,207.40
  6. Step 6: Final answer
    x = 45,318.30

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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.