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Finding the Fourth Proportional to 109,318.40, 164,006.40 and 39,190.40

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Solution

The fourth proportional to 109,318.40, 164,006.40 and 39,190.40 is: 58,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,318.40 : 164,006.40 = 39,190.40 : x
  2. Step 2: Convert to fraction form
    109,318.40/164,006.40 = 39,190.40/x
  3. Step 3: Cross multiply
    109,318.40x = 164,006.40 × 39,190.40
  4. Step 4: Simplify right side
    109,318.40x = 6,427,476,418.56
  5. Step 5: Solve for x
    x = 6,427,476,418.56/109,318.40
  6. Step 6: Final answer
    x = 58,795.92

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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.