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Finding the Fourth Proportional to 137,560.05, 206,806.64 and 109,834.29

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Solution

The fourth proportional to 137,560.05, 206,806.64 and 109,834.29 is: 165,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,560.05 : 206,806.64 = 109,834.29 : x
  2. Step 2: Convert to fraction form
    137,560.05/206,806.64 = 109,834.29/x
  3. Step 3: Cross multiply
    137,560.05x = 206,806.64 × 109,834.29
  4. Step 4: Simplify right side
    137,560.05x = 22,714,459,922.51
  5. Step 5: Solve for x
    x = 22,714,459,922.51/137,560.05
  6. Step 6: Final answer
    x = 165,123.96

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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.