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Finding the Fourth Proportional to 84,129.79, 126,167.36 and 27,954.81

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Solution

The fourth proportional to 84,129.79, 126,167.36 and 27,954.81 is: 41,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.79 : 126,167.36 = 27,954.81 : x
  2. Step 2: Convert to fraction form
    84,129.79/126,167.36 = 27,954.81/x
  3. Step 3: Cross multiply
    84,129.79x = 126,167.36 × 27,954.81
  4. Step 4: Simplify right side
    84,129.79x = 3,526,984,646.89
  5. Step 5: Solve for x
    x = 3,526,984,646.89/84,129.79
  6. Step 6: Final answer
    x = 41,923.14

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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.