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Finding the Fourth Proportional to 109,792.80, 164,540.88 and 80,071.20

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Solution

The fourth proportional to 109,792.80, 164,540.88 and 80,071.20 is: 119,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792.80 : 164,540.88 = 80,071.20 : x
  2. Step 2: Convert to fraction form
    109,792.80/164,540.88 = 80,071.20/x
  3. Step 3: Cross multiply
    109,792.80x = 164,540.88 × 80,071.20
  4. Step 4: Simplify right side
    109,792.80x = 13,174,985,710.66
  5. Step 5: Solve for x
    x = 13,174,985,710.66/109,792.80
  6. Step 6: Final answer
    x = 119,998.63

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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.