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Finding the Fourth Proportional to 81,323.79, 121,892.08 and 31,381.80

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Solution

The fourth proportional to 81,323.79, 121,892.08 and 31,381.80 is: 47,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,323.79 : 121,892.08 = 31,381.80 : x
  2. Step 2: Convert to fraction form
    81,323.79/121,892.08 = 31,381.80/x
  3. Step 3: Cross multiply
    81,323.79x = 121,892.08 × 31,381.80
  4. Step 4: Simplify right side
    81,323.79x = 3,825,192,109.77
  5. Step 5: Solve for x
    x = 3,825,192,109.77/81,323.79
  6. Step 6: Final answer
    x = 47,036.57

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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.