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Finding the Fourth Proportional to 84,019.79, 126,082.23 and 34,099.89

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Solution

The fourth proportional to 84,019.79, 126,082.23 and 34,099.89 is: 51,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,019.79 : 126,082.23 = 34,099.89 : x
  2. Step 2: Convert to fraction form
    84,019.79/126,082.23 = 34,099.89/x
  3. Step 3: Cross multiply
    84,019.79x = 126,082.23 × 34,099.89
  4. Step 4: Simplify right side
    84,019.79x = 4,299,389,829.02
  5. Step 5: Solve for x
    x = 4,299,389,829.02/84,019.79
  6. Step 6: Final answer
    x = 51,171.16

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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.