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Finding the Fourth Proportional to 109,898.38, 164,860.79 and 38,806.39

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Solution

The fourth proportional to 109,898.38, 164,860.79 and 38,806.39 is: 58,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.38 : 164,860.79 = 38,806.39 : x
  2. Step 2: Convert to fraction form
    109,898.38/164,860.79 = 38,806.39/x
  3. Step 3: Cross multiply
    109,898.38x = 164,860.79 × 38,806.39
  4. Step 4: Simplify right side
    109,898.38x = 6,397,652,112.45
  5. Step 5: Solve for x
    x = 6,397,652,112.45/109,898.38
  6. Step 6: Final answer
    x = 58,214.25

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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.