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Finding the Fourth Proportional to 80,257.07, 110,718.01 and 51,971.87

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Solution

The fourth proportional to 80,257.07, 110,718.01 and 51,971.87 is: 71,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257.07 : 110,718.01 = 51,971.87 : x
  2. Step 2: Convert to fraction form
    80,257.07/110,718.01 = 51,971.87/x
  3. Step 3: Cross multiply
    80,257.07x = 110,718.01 × 51,971.87
  4. Step 4: Simplify right side
    80,257.07x = 5,754,222,022.38
  5. Step 5: Solve for x
    x = 5,754,222,022.38/80,257.07
  6. Step 6: Final answer
    x = 71,697.38

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1.5x scale

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.