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Finding the Fourth Proportional to 70,805.80, 97,712.03 and 38,974.47

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Solution

The fourth proportional to 70,805.80, 97,712.03 and 38,974.47 is: 53,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805.80 : 97,712.03 = 38,974.47 : x
  2. Step 2: Convert to fraction form
    70,805.80/97,712.03 = 38,974.47/x
  3. Step 3: Cross multiply
    70,805.80x = 97,712.03 × 38,974.47
  4. Step 4: Simplify right side
    70,805.80x = 3,808,274,581.87
  5. Step 5: Solve for x
    x = 3,808,274,581.87/70,805.80
  6. Step 6: Final answer
    x = 53,784.78

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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.