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Finding the Fourth Proportional to 276,728.29, 381,888.14 and 161,981.87

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Solution

The fourth proportional to 276,728.29, 381,888.14 and 161,981.87 is: 223,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,728.29 : 381,888.14 = 161,981.87 : x
  2. Step 2: Convert to fraction form
    276,728.29/381,888.14 = 161,981.87/x
  3. Step 3: Cross multiply
    276,728.29x = 381,888.14 × 161,981.87
  4. Step 4: Simplify right side
    276,728.29x = 61,858,952,328.67
  5. Step 5: Solve for x
    x = 61,858,952,328.67/276,728.29
  6. Step 6: Final answer
    x = 223,536.79

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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.