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Finding the Fourth Proportional to 109,870.80, 164,806.20 and 108,121.20

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Solution

The fourth proportional to 109,870.80, 164,806.20 and 108,121.20 is: 162,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870.80 : 164,806.20 = 108,121.20 : x
  2. Step 2: Convert to fraction form
    109,870.80/164,806.20 = 108,121.20/x
  3. Step 3: Cross multiply
    109,870.80x = 164,806.20 × 108,121.20
  4. Step 4: Simplify right side
    109,870.80x = 17,819,044,111.44
  5. Step 5: Solve for x
    x = 17,819,044,111.44/109,870.80
  6. Step 6: Final answer
    x = 162,181.80

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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.