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Finding the Fourth Proportional to 84,588.75, 126,891.70 and 31,294.80

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Solution

The fourth proportional to 84,588.75, 126,891.70 and 31,294.80 is: 46,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,588.75 : 126,891.70 = 31,294.80 : x
  2. Step 2: Convert to fraction form
    84,588.75/126,891.70 = 31,294.80/x
  3. Step 3: Cross multiply
    84,588.75x = 126,891.70 × 31,294.80
  4. Step 4: Simplify right side
    84,588.75x = 3,971,050,294.92
  5. Step 5: Solve for x
    x = 3,971,050,294.92/84,588.75
  6. Step 6: Final answer
    x = 46,945.37

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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.