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Finding the Fourth Proportional to 199,631.61, 299,299.79 and 120,728.30

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Solution

The fourth proportional to 199,631.61, 299,299.79 and 120,728.30 is: 181,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,631.61 : 299,299.79 = 120,728.30 : x
  2. Step 2: Convert to fraction form
    199,631.61/299,299.79 = 120,728.30/x
  3. Step 3: Cross multiply
    199,631.61x = 299,299.79 × 120,728.30
  4. Step 4: Simplify right side
    199,631.61x = 36,133,953,340.56
  5. Step 5: Solve for x
    x = 36,133,953,340.56/199,631.61
  6. Step 6: Final answer
    x = 181,003.17

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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.