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Finding the Fourth Proportional to 82,011.78, 122,568.33 and 59,871.78

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Solution

The fourth proportional to 82,011.78, 122,568.33 and 59,871.78 is: 89,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.78 : 122,568.33 = 59,871.78 : x
  2. Step 2: Convert to fraction form
    82,011.78/122,568.33 = 59,871.78/x
  3. Step 3: Cross multiply
    82,011.78x = 122,568.33 × 59,871.78
  4. Step 4: Simplify right side
    82,011.78x = 7,338,384,088.73
  5. Step 5: Solve for x
    x = 7,338,384,088.73/82,011.78
  6. Step 6: Final answer
    x = 89,479.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.