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Finding the Fourth Proportional to 135,715.77, 203,540.85 and 56,889

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Solution

The fourth proportional to 135,715.77, 203,540.85 and 56,889 is: 85,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,715.77 : 203,540.85 = 56,889 : x
  2. Step 2: Convert to fraction form
    135,715.77/203,540.85 = 56,889/x
  3. Step 3: Cross multiply
    135,715.77x = 203,540.85 × 56,889
  4. Step 4: Simplify right side
    135,715.77x = 11,579,235,415.65
  5. Step 5: Solve for x
    x = 11,579,235,415.65/135,715.77
  6. Step 6: Final answer
    x = 85,319.75

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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.