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Finding the Fourth Proportional to 70,830.75, 97,745.84 and 38,998.97

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Solution

The fourth proportional to 70,830.75, 97,745.84 and 38,998.97 is: 53,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.75 : 97,745.84 = 38,998.97 : x
  2. Step 2: Convert to fraction form
    70,830.75/97,745.84 = 38,998.97/x
  3. Step 3: Cross multiply
    70,830.75x = 97,745.84 × 38,998.97
  4. Step 4: Simplify right side
    70,830.75x = 3,811,986,910.85
  5. Step 5: Solve for x
    x = 3,811,986,910.85/70,830.75
  6. Step 6: Final answer
    x = 53,818.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.