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Finding the Fourth Proportional to 85,137.74, 127,705.90 and 31,843.16

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Solution

The fourth proportional to 85,137.74, 127,705.90 and 31,843.16 is: 47,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137.74 : 127,705.90 = 31,843.16 : x
  2. Step 2: Convert to fraction form
    85,137.74/127,705.90 = 31,843.16/x
  3. Step 3: Cross multiply
    85,137.74x = 127,705.90 × 31,843.16
  4. Step 4: Simplify right side
    85,137.74x = 4,066,559,406.64
  5. Step 5: Solve for x
    x = 4,066,559,406.64/85,137.74
  6. Step 6: Final answer
    x = 47,764.47

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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.