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Finding the Fourth Proportional to 70,811.90, 97,720.41 and 38,546.64

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Solution

The fourth proportional to 70,811.90, 97,720.41 and 38,546.64 is: 53,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811.90 : 97,720.41 = 38,546.64 : x
  2. Step 2: Convert to fraction form
    70,811.90/97,720.41 = 38,546.64/x
  3. Step 3: Cross multiply
    70,811.90x = 97,720.41 × 38,546.64
  4. Step 4: Simplify right side
    70,811.90x = 3,766,793,464.92
  5. Step 5: Solve for x
    x = 3,766,793,464.92/70,811.90
  6. Step 6: Final answer
    x = 53,194.36

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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.