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Finding the Fourth Proportional to 134,647.24, 185,813.56 and 80,963

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Solution

The fourth proportional to 134,647.24, 185,813.56 and 80,963 is: 111,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,647.24 : 185,813.56 = 80,963 : x
  2. Step 2: Convert to fraction form
    134,647.24/185,813.56 = 80,963/x
  3. Step 3: Cross multiply
    134,647.24x = 185,813.56 × 80,963
  4. Step 4: Simplify right side
    134,647.24x = 15,044,023,258.28
  5. Step 5: Solve for x
    x = 15,044,023,258.28/134,647.24
  6. Step 6: Final answer
    x = 111,729.16

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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.