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Finding the Fourth Proportional to 81,647.80, 122,471.70 and 34,905.40

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Solution

The fourth proportional to 81,647.80, 122,471.70 and 34,905.40 is: 52,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647.80 : 122,471.70 = 34,905.40 : x
  2. Step 2: Convert to fraction form
    81,647.80/122,471.70 = 34,905.40/x
  3. Step 3: Cross multiply
    81,647.80x = 122,471.70 × 34,905.40
  4. Step 4: Simplify right side
    81,647.80x = 4,274,923,677.18
  5. Step 5: Solve for x
    x = 4,274,923,677.18/81,647.80
  6. Step 6: Final answer
    x = 52,358.10

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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.