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Finding the Fourth Proportional to 70,837.92, 97,745.94 and 40,206.29

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Solution

The fourth proportional to 70,837.92, 97,745.94 and 40,206.29 is: 55,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,837.92 : 97,745.94 = 40,206.29 : x
  2. Step 2: Convert to fraction form
    70,837.92/97,745.94 = 40,206.29/x
  3. Step 3: Cross multiply
    70,837.92x = 97,745.94 × 40,206.29
  4. Step 4: Simplify right side
    70,837.92x = 3,930,001,121.23
  5. Step 5: Solve for x
    x = 3,930,001,121.23/70,837.92
  6. Step 6: Final answer
    x = 55,478.78

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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.