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Finding the Fourth Proportional to 65,278.32, 97,844.04 and 38,928

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Solution

The fourth proportional to 65,278.32, 97,844.04 and 38,928 is: 58,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.32 : 97,844.04 = 38,928 : x
  2. Step 2: Convert to fraction form
    65,278.32/97,844.04 = 38,928/x
  3. Step 3: Cross multiply
    65,278.32x = 97,844.04 × 38,928
  4. Step 4: Simplify right side
    65,278.32x = 3,808,872,789.12
  5. Step 5: Solve for x
    x = 3,808,872,789.12/65,278.32
  6. Step 6: Final answer
    x = 58,348.20

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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.