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Finding the Fourth Proportional to 81,878.79, 122,839.65 and 25,716.63

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Solution

The fourth proportional to 81,878.79, 122,839.65 and 25,716.63 is: 38,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.79 : 122,839.65 = 25,716.63 : x
  2. Step 2: Convert to fraction form
    81,878.79/122,839.65 = 25,716.63/x
  3. Step 3: Cross multiply
    81,878.79x = 122,839.65 × 25,716.63
  4. Step 4: Simplify right side
    81,878.79x = 3,159,021,828.38
  5. Step 5: Solve for x
    x = 3,159,021,828.38/81,878.79
  6. Step 6: Final answer
    x = 38,581.69

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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.