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Finding the Fourth Proportional to 70,992.30, 97,967.81 and 39,161.19

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Solution

The fourth proportional to 70,992.30, 97,967.81 and 39,161.19 is: 54,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,992.30 : 97,967.81 = 39,161.19 : x
  2. Step 2: Convert to fraction form
    70,992.30/97,967.81 = 39,161.19/x
  3. Step 3: Cross multiply
    70,992.30x = 97,967.81 × 39,161.19
  4. Step 4: Simplify right side
    70,992.30x = 3,836,535,825.49
  5. Step 5: Solve for x
    x = 3,836,535,825.49/70,992.30
  6. Step 6: Final answer
    x = 54,041.58

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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.