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Finding the Fourth Proportional to 200,888.24, 277,234.45 and 120,328.88

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Solution

The fourth proportional to 200,888.24, 277,234.45 and 120,328.88 is: 166,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888.24 : 277,234.45 = 120,328.88 : x
  2. Step 2: Convert to fraction form
    200,888.24/277,234.45 = 120,328.88/x
  3. Step 3: Cross multiply
    200,888.24x = 277,234.45 × 120,328.88
  4. Step 4: Simplify right side
    200,888.24x = 33,359,309,178.92
  5. Step 5: Solve for x
    x = 33,359,309,178.92/200,888.24
  6. Step 6: Final answer
    x = 166,059.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.