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Finding the Fourth Proportional to 81,686.27, 122,423.48 and 36,674.40

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Solution

The fourth proportional to 81,686.27, 122,423.48 and 36,674.40 is: 54,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686.27 : 122,423.48 = 36,674.40 : x
  2. Step 2: Convert to fraction form
    81,686.27/122,423.48 = 36,674.40/x
  3. Step 3: Cross multiply
    81,686.27x = 122,423.48 × 36,674.40
  4. Step 4: Simplify right side
    81,686.27x = 4,489,806,952.06
  5. Step 5: Solve for x
    x = 4,489,806,952.06/81,686.27
  6. Step 6: Final answer
    x = 54,964.03

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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.