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Finding the Fourth Proportional to 281,728.24, 422,607.78 and 71,368

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Solution

The fourth proportional to 281,728.24, 422,607.78 and 71,368 is: 107,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.24 : 422,607.78 = 71,368 : x
  2. Step 2: Convert to fraction form
    281,728.24/422,607.78 = 71,368/x
  3. Step 3: Cross multiply
    281,728.24x = 422,607.78 × 71,368
  4. Step 4: Simplify right side
    281,728.24x = 30,160,672,043.04
  5. Step 5: Solve for x
    x = 30,160,672,043.04/281,728.24
  6. Step 6: Final answer
    x = 107,055.91

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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.