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Finding the Fourth Proportional to 65,885.28, 98,745.12 and 47,067.36

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Solution

The fourth proportional to 65,885.28, 98,745.12 and 47,067.36 is: 70,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885.28 : 98,745.12 = 47,067.36 : x
  2. Step 2: Convert to fraction form
    65,885.28/98,745.12 = 47,067.36/x
  3. Step 3: Cross multiply
    65,885.28x = 98,745.12 × 47,067.36
  4. Step 4: Simplify right side
    65,885.28x = 4,647,672,111.28
  5. Step 5: Solve for x
    x = 4,647,672,111.28/65,885.28
  6. Step 6: Final answer
    x = 70,541.89

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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.