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Finding the Fourth Proportional to 209,872.46, 314,564.78 and 119,978.17

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Solution

The fourth proportional to 209,872.46, 314,564.78 and 119,978.17 is: 179,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.46 : 314,564.78 = 119,978.17 : x
  2. Step 2: Convert to fraction form
    209,872.46/314,564.78 = 119,978.17/x
  3. Step 3: Cross multiply
    209,872.46x = 314,564.78 × 119,978.17
  4. Step 4: Simplify right side
    209,872.46x = 37,740,906,164.39
  5. Step 5: Solve for x
    x = 37,740,906,164.39/209,872.46
  6. Step 6: Final answer
    x = 179,827.81

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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.