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Finding the Fourth Proportional to 199,970.37, 299,955.84 and 80,081.31

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Solution

The fourth proportional to 199,970.37, 299,955.84 and 80,081.31 is: 120,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,970.37 : 299,955.84 = 80,081.31 : x
  2. Step 2: Convert to fraction form
    199,970.37/299,955.84 = 80,081.31/x
  3. Step 3: Cross multiply
    199,970.37x = 299,955.84 × 80,081.31
  4. Step 4: Simplify right side
    199,970.37x = 24,020,856,609.35
  5. Step 5: Solve for x
    x = 24,020,856,609.35/199,970.37
  6. Step 6: Final answer
    x = 120,122.08

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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.