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Finding the Fourth Proportional to 47,391.24, 65,398.68 and 30,378

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Solution

The fourth proportional to 47,391.24, 65,398.68 and 30,378 is: 41,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.24 : 65,398.68 = 30,378 : x
  2. Step 2: Convert to fraction form
    47,391.24/65,398.68 = 30,378/x
  3. Step 3: Cross multiply
    47,391.24x = 65,398.68 × 30,378
  4. Step 4: Simplify right side
    47,391.24x = 1,986,681,101.04
  5. Step 5: Solve for x
    x = 1,986,681,101.04/47,391.24
  6. Step 6: Final answer
    x = 41,920.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.