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Finding the Fourth Proportional to 82,061.70, 122,961.27 and 74,188.50

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Solution

The fourth proportional to 82,061.70, 122,961.27 and 74,188.50 is: 111,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,061.70 : 122,961.27 = 74,188.50 : x
  2. Step 2: Convert to fraction form
    82,061.70/122,961.27 = 74,188.50/x
  3. Step 3: Cross multiply
    82,061.70x = 122,961.27 × 74,188.50
  4. Step 4: Simplify right side
    82,061.70x = 9,122,312,179.40
  5. Step 5: Solve for x
    x = 9,122,312,179.40/82,061.70
  6. Step 6: Final answer
    x = 111,164.07

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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.