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Finding the Fourth Proportional to 91,500, 126,275.76 and 51,216.48

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Solution

The fourth proportional to 91,500, 126,275.76 and 51,216.48 is: 70,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,500 : 126,275.76 = 51,216.48 : x
  2. Step 2: Convert to fraction form
    91,500/126,275.76 = 51,216.48/x
  3. Step 3: Cross multiply
    91,500x = 126,275.76 × 51,216.48
  4. Step 4: Simplify right side
    91,500x = 6,467,399,936.52
  5. Step 5: Solve for x
    x = 6,467,399,936.52/91,500
  6. Step 6: Final answer
    x = 70,681.97

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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.