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Finding the Fourth Proportional to 91,275, 125,959.50 and 51,531

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Solution

The fourth proportional to 91,275, 125,959.50 and 51,531 is: 71,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,275 : 125,959.50 = 51,531 : x
  2. Step 2: Convert to fraction form
    91,275/125,959.50 = 51,531/x
  3. Step 3: Cross multiply
    91,275x = 125,959.50 × 51,531
  4. Step 4: Simplify right side
    91,275x = 6,490,818,994.50
  5. Step 5: Solve for x
    x = 6,490,818,994.50/91,275
  6. Step 6: Final answer
    x = 71,112.78

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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.