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Finding the Fourth Proportional to 144,803.31, 199,833.98 and 81,138.75

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Solution

The fourth proportional to 144,803.31, 199,833.98 and 81,138.75 is: 111,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,803.31 : 199,833.98 = 81,138.75 : x
  2. Step 2: Convert to fraction form
    144,803.31/199,833.98 = 81,138.75/x
  3. Step 3: Cross multiply
    144,803.31x = 199,833.98 × 81,138.75
  4. Step 4: Simplify right side
    144,803.31x = 16,214,278,939.03
  5. Step 5: Solve for x
    x = 16,214,278,939.03/144,803.31
  6. Step 6: Final answer
    x = 111,974.50

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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.