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Finding the Fourth Proportional to 81,850.84, 122,775.85 and 70,723.47

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Solution

The fourth proportional to 81,850.84, 122,775.85 and 70,723.47 is: 106,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,850.84 : 122,775.85 = 70,723.47 : x
  2. Step 2: Convert to fraction form
    81,850.84/122,775.85 = 70,723.47/x
  3. Step 3: Cross multiply
    81,850.84x = 122,775.85 × 70,723.47
  4. Step 4: Simplify right side
    81,850.84x = 8,683,134,144.20
  5. Step 5: Solve for x
    x = 8,683,134,144.20/81,850.84
  6. Step 6: Final answer
    x = 106,084.85

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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.