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Finding the Fourth Proportional to 85,029.72, 127,368.90 and 49,863.48

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Solution

The fourth proportional to 85,029.72, 127,368.90 and 49,863.48 is: 74,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029.72 : 127,368.90 = 49,863.48 : x
  2. Step 2: Convert to fraction form
    85,029.72/127,368.90 = 49,863.48/x
  3. Step 3: Cross multiply
    85,029.72x = 127,368.90 × 49,863.48
  4. Step 4: Simplify right side
    85,029.72x = 6,351,056,597.77
  5. Step 5: Solve for x
    x = 6,351,056,597.77/85,029.72
  6. Step 6: Final answer
    x = 74,692.20

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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.