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Finding the Fourth Proportional to 109,680, 164,520.90 and 26,574

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Solution

The fourth proportional to 109,680, 164,520.90 and 26,574 is: 39,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,680 : 164,520.90 = 26,574 : x
  2. Step 2: Convert to fraction form
    109,680/164,520.90 = 26,574/x
  3. Step 3: Cross multiply
    109,680x = 164,520.90 × 26,574
  4. Step 4: Simplify right side
    109,680x = 4,371,978,396.60
  5. Step 5: Solve for x
    x = 4,371,978,396.60/109,680
  6. Step 6: Final answer
    x = 39,861.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.