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Finding the Fourth Proportional to 91,680, 126,520.32 and 51,936

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Solution

The fourth proportional to 91,680, 126,520.32 and 51,936 is: 71,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,680 : 126,520.32 = 51,936 : x
  2. Step 2: Convert to fraction form
    91,680/126,520.32 = 51,936/x
  3. Step 3: Cross multiply
    91,680x = 126,520.32 × 51,936
  4. Step 4: Simplify right side
    91,680x = 6,570,959,339.52
  5. Step 5: Solve for x
    x = 6,570,959,339.52/91,680
  6. Step 6: Final answer
    x = 71,672.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.