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Finding the Fourth Proportional to 149,696.96, 206,582.54 and 81,715.50

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Solution

The fourth proportional to 149,696.96, 206,582.54 and 81,715.50 is: 112,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.96 : 206,582.54 = 81,715.50 : x
  2. Step 2: Convert to fraction form
    149,696.96/206,582.54 = 81,715.50/x
  3. Step 3: Cross multiply
    149,696.96x = 206,582.54 × 81,715.50
  4. Step 4: Simplify right side
    149,696.96x = 16,880,995,138.79
  5. Step 5: Solve for x
    x = 16,880,995,138.79/149,696.96
  6. Step 6: Final answer
    x = 112,767.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.