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Finding the Fourth Proportional to 109,678, 164,517.90 and 26,572

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Solution

The fourth proportional to 109,678, 164,517.90 and 26,572 is: 39,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,678 : 164,517.90 = 26,572 : x
  2. Step 2: Convert to fraction form
    109,678/164,517.90 = 26,572/x
  3. Step 3: Cross multiply
    109,678x = 164,517.90 × 26,572
  4. Step 4: Simplify right side
    109,678x = 4,371,569,638.80
  5. Step 5: Solve for x
    x = 4,371,569,638.80/109,678
  6. Step 6: Final answer
    x = 39,858.22

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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.