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Finding the Fourth Proportional to 51,603.84, 71,226 and 31,471.83

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Solution

The fourth proportional to 51,603.84, 71,226 and 31,471.83 is: 43,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.84 : 71,226 = 31,471.83 : x
  2. Step 2: Convert to fraction form
    51,603.84/71,226 = 31,471.83/x
  3. Step 3: Cross multiply
    51,603.84x = 71,226 × 31,471.83
  4. Step 4: Simplify right side
    51,603.84x = 2,241,612,563.58
  5. Step 5: Solve for x
    x = 2,241,612,563.58/51,603.84
  6. Step 6: Final answer
    x = 43,438.87

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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.