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Finding the Fourth Proportional to 84,511.57, 126,580.49 and 57,794.24

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Solution

The fourth proportional to 84,511.57, 126,580.49 and 57,794.24 is: 86,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,511.57 : 126,580.49 = 57,794.24 : x
  2. Step 2: Convert to fraction form
    84,511.57/126,580.49 = 57,794.24/x
  3. Step 3: Cross multiply
    84,511.57x = 126,580.49 × 57,794.24
  4. Step 4: Simplify right side
    84,511.57x = 7,315,623,462.59
  5. Step 5: Solve for x
    x = 7,315,623,462.59/84,511.57
  6. Step 6: Final answer
    x = 86,563.57

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1.5x scale

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.