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Finding the Fourth Proportional to 81,065.81, 121,642.46 and 39,512.81

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Solution

The fourth proportional to 81,065.81, 121,642.46 and 39,512.81 is: 59,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,065.81 : 121,642.46 = 39,512.81 : x
  2. Step 2: Convert to fraction form
    81,065.81/121,642.46 = 39,512.81/x
  3. Step 3: Cross multiply
    81,065.81x = 121,642.46 × 39,512.81
  4. Step 4: Simplify right side
    81,065.81x = 4,806,435,664.63
  5. Step 5: Solve for x
    x = 4,806,435,664.63/81,065.81
  6. Step 6: Final answer
    x = 59,290.54

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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.