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Finding the Fourth Proportional to 140,660.80, 194,079.28 and 83,271.28

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Solution

The fourth proportional to 140,660.80, 194,079.28 and 83,271.28 is: 114,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,660.80 : 194,079.28 = 83,271.28 : x
  2. Step 2: Convert to fraction form
    140,660.80/194,079.28 = 83,271.28/x
  3. Step 3: Cross multiply
    140,660.80x = 194,079.28 × 83,271.28
  4. Step 4: Simplify right side
    140,660.80x = 16,161,230,067.08
  5. Step 5: Solve for x
    x = 16,161,230,067.08/140,660.80
  6. Step 6: Final answer
    x = 114,895.05

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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.