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Finding the Fourth Proportional to 65,371.80, 97,928.10 and 38,998.20

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Solution

The fourth proportional to 65,371.80, 97,928.10 and 38,998.20 is: 58,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,371.80 : 97,928.10 = 38,998.20 : x
  2. Step 2: Convert to fraction form
    65,371.80/97,928.10 = 38,998.20/x
  3. Step 3: Cross multiply
    65,371.80x = 97,928.10 × 38,998.20
  4. Step 4: Simplify right side
    65,371.80x = 3,819,019,629.42
  5. Step 5: Solve for x
    x = 3,819,019,629.42/65,371.80
  6. Step 6: Final answer
    x = 58,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.