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Finding the Fourth Proportional to 209,374.76, 314,091.09 and 67,186.59

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Solution

The fourth proportional to 209,374.76, 314,091.09 and 67,186.59 is: 100,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,374.76 : 314,091.09 = 67,186.59 : x
  2. Step 2: Convert to fraction form
    209,374.76/314,091.09 = 67,186.59/x
  3. Step 3: Cross multiply
    209,374.76x = 314,091.09 × 67,186.59
  4. Step 4: Simplify right side
    209,374.76x = 21,102,709,286.48
  5. Step 5: Solve for x
    x = 21,102,709,286.48/209,374.76
  6. Step 6: Final answer
    x = 100,789.18

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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.