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Finding the Fourth Proportional to 84,069.48, 126,019.14 and 54,506.10

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Solution

The fourth proportional to 84,069.48, 126,019.14 and 54,506.10 is: 81,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,069.48 : 126,019.14 = 54,506.10 : x
  2. Step 2: Convert to fraction form
    84,069.48/126,019.14 = 54,506.10/x
  3. Step 3: Cross multiply
    84,069.48x = 126,019.14 × 54,506.10
  4. Step 4: Simplify right side
    84,069.48x = 6,868,811,846.75
  5. Step 5: Solve for x
    x = 6,868,811,846.75/84,069.48
  6. Step 6: Final answer
    x = 81,703.99

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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.