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Finding the Fourth Proportional to 81,861.84, 122,792.36 and 70,734.67

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Solution

The fourth proportional to 81,861.84, 122,792.36 and 70,734.67 is: 106,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.84 : 122,792.36 = 70,734.67 : x
  2. Step 2: Convert to fraction form
    81,861.84/122,792.36 = 70,734.67/x
  3. Step 3: Cross multiply
    81,861.84x = 122,792.36 × 70,734.67
  4. Step 4: Simplify right side
    81,861.84x = 8,685,676,402.47
  5. Step 5: Solve for x
    x = 8,685,676,402.47/81,861.84
  6. Step 6: Final answer
    x = 106,101.65

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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.