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Finding the Fourth Proportional to 126,036, 189,079.92 and 52,164

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Solution

The fourth proportional to 126,036, 189,079.92 and 52,164 is: 78,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,036 : 189,079.92 = 52,164 : x
  2. Step 2: Convert to fraction form
    126,036/189,079.92 = 52,164/x
  3. Step 3: Cross multiply
    126,036x = 189,079.92 × 52,164
  4. Step 4: Simplify right side
    126,036x = 9,863,164,946.88
  5. Step 5: Solve for x
    x = 9,863,164,946.88/126,036
  6. Step 6: Final answer
    x = 78,256.73

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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.