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Finding the Fourth Proportional to 70,952.20, 97,914.81 and 38,686.56

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Solution

The fourth proportional to 70,952.20, 97,914.81 and 38,686.56 is: 53,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.20 : 97,914.81 = 38,686.56 : x
  2. Step 2: Convert to fraction form
    70,952.20/97,914.81 = 38,686.56/x
  3. Step 3: Cross multiply
    70,952.20x = 97,914.81 × 38,686.56
  4. Step 4: Simplify right side
    70,952.20x = 3,787,987,283.01
  5. Step 5: Solve for x
    x = 3,787,987,283.01/70,952.20
  6. Step 6: Final answer
    x = 53,387.87

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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.