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Finding the Fourth Proportional to 276,712.02, 381,863.01 and 161,969.82

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Solution

The fourth proportional to 276,712.02, 381,863.01 and 161,969.82 is: 223,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712.02 : 381,863.01 = 161,969.82 : x
  2. Step 2: Convert to fraction form
    276,712.02/381,863.01 = 161,969.82/x
  3. Step 3: Cross multiply
    276,712.02x = 381,863.01 × 161,969.82
  4. Step 4: Simplify right side
    276,712.02x = 61,850,282,994.36
  5. Step 5: Solve for x
    x = 61,850,282,994.36/276,712.02
  6. Step 6: Final answer
    x = 223,518.60

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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.