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Finding the Fourth Proportional to 140,284.80, 193,542.72 and 82,912.08

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Solution

The fourth proportional to 140,284.80, 193,542.72 and 82,912.08 is: 114,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,284.80 : 193,542.72 = 82,912.08 : x
  2. Step 2: Convert to fraction form
    140,284.80/193,542.72 = 82,912.08/x
  3. Step 3: Cross multiply
    140,284.80x = 193,542.72 × 82,912.08
  4. Step 4: Simplify right side
    140,284.80x = 16,047,029,484.06
  5. Step 5: Solve for x
    x = 16,047,029,484.06/140,284.80
  6. Step 6: Final answer
    x = 114,388.94

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1.5x scale

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.