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Finding the Fourth Proportional to 81,969.40, 122,954.10 and 80,657.20

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Solution

The fourth proportional to 81,969.40, 122,954.10 and 80,657.20 is: 120,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969.40 : 122,954.10 = 80,657.20 : x
  2. Step 2: Convert to fraction form
    81,969.40/122,954.10 = 80,657.20/x
  3. Step 3: Cross multiply
    81,969.40x = 122,954.10 × 80,657.20
  4. Step 4: Simplify right side
    81,969.40x = 9,917,133,434.52
  5. Step 5: Solve for x
    x = 9,917,133,434.52/81,969.40
  6. Step 6: Final answer
    x = 120,985.80

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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.