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Finding the Fourth Proportional to 81,402.70, 122,132.85 and 78,522.70

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Solution

The fourth proportional to 81,402.70, 122,132.85 and 78,522.70 is: 117,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,402.70 : 122,132.85 = 78,522.70 : x
  2. Step 2: Convert to fraction form
    81,402.70/122,132.85 = 78,522.70/x
  3. Step 3: Cross multiply
    81,402.70x = 122,132.85 × 78,522.70
  4. Step 4: Simplify right side
    81,402.70x = 9,590,201,140.70
  5. Step 5: Solve for x
    x = 9,590,201,140.70/81,402.70
  6. Step 6: Final answer
    x = 117,811.83

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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.