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Finding the Fourth Proportional to 91,396, 126,143.76 and 51,652

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Solution

The fourth proportional to 91,396, 126,143.76 and 51,652 is: 71,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,396 : 126,143.76 = 51,652 : x
  2. Step 2: Convert to fraction form
    91,396/126,143.76 = 51,652/x
  3. Step 3: Cross multiply
    91,396x = 126,143.76 × 51,652
  4. Step 4: Simplify right side
    91,396x = 6,515,577,491.52
  5. Step 5: Solve for x
    x = 6,515,577,491.52/91,396
  6. Step 6: Final answer
    x = 71,289.53

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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.