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Finding the Fourth Proportional to 137,769.51, 206,461.81 and 74,453.12

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Solution

The fourth proportional to 137,769.51, 206,461.81 and 74,453.12 is: 111,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769.51 : 206,461.81 = 74,453.12 : x
  2. Step 2: Convert to fraction form
    137,769.51/206,461.81 = 74,453.12/x
  3. Step 3: Cross multiply
    137,769.51x = 206,461.81 × 74,453.12
  4. Step 4: Simplify right side
    137,769.51x = 15,371,726,911.68
  5. Step 5: Solve for x
    x = 15,371,726,911.68/137,769.51
  6. Step 6: Final answer
    x = 111,575.68

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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.