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Finding the Fourth Proportional to 126,146, 189,219 and 51,306.86

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Solution

The fourth proportional to 126,146, 189,219 and 51,306.86 is: 76,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,146 : 189,219 = 51,306.86 : x
  2. Step 2: Convert to fraction form
    126,146/189,219 = 51,306.86/x
  3. Step 3: Cross multiply
    126,146x = 189,219 × 51,306.86
  4. Step 4: Simplify right side
    126,146x = 9,708,232,742.34
  5. Step 5: Solve for x
    x = 9,708,232,742.34/126,146
  6. Step 6: Final answer
    x = 76,960.29

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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.