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Finding the Fourth Proportional to 126,144, 189,216 and 51,304.86

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Solution

The fourth proportional to 126,144, 189,216 and 51,304.86 is: 76,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 189,216 = 51,304.86 : x
  2. Step 2: Convert to fraction form
    126,144/189,216 = 51,304.86/x
  3. Step 3: Cross multiply
    126,144x = 189,216 × 51,304.86
  4. Step 4: Simplify right side
    126,144x = 9,707,700,389.76
  5. Step 5: Solve for x
    x = 9,707,700,389.76/126,144
  6. Step 6: Final answer
    x = 76,957.29

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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.