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Finding the Fourth Proportional to 225,639.98, 311,372.49 and 135,045.86

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Solution

The fourth proportional to 225,639.98, 311,372.49 and 135,045.86 is: 186,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,639.98 : 311,372.49 = 135,045.86 : x
  2. Step 2: Convert to fraction form
    225,639.98/311,372.49 = 135,045.86/x
  3. Step 3: Cross multiply
    225,639.98x = 311,372.49 × 135,045.86
  4. Step 4: Simplify right side
    225,639.98x = 42,049,565,692.39
  5. Step 5: Solve for x
    x = 42,049,565,692.39/225,639.98
  6. Step 6: Final answer
    x = 186,356.89

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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.