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Finding the Fourth Proportional to 82,097.47, 122,961.67 and 49,989.57

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Solution

The fourth proportional to 82,097.47, 122,961.67 and 49,989.57 is: 74,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097.47 : 122,961.67 = 49,989.57 : x
  2. Step 2: Convert to fraction form
    82,097.47/122,961.67 = 49,989.57/x
  3. Step 3: Cross multiply
    82,097.47x = 122,961.67 × 49,989.57
  4. Step 4: Simplify right side
    82,097.47x = 6,146,800,759.83
  5. Step 5: Solve for x
    x = 6,146,800,759.83/82,097.47
  6. Step 6: Final answer
    x = 74,871.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.