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Finding the Fourth Proportional to 85,129.82, 127,674.18 and 37,718.70

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Solution

The fourth proportional to 85,129.82, 127,674.18 and 37,718.70 is: 56,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,129.82 : 127,674.18 = 37,718.70 : x
  2. Step 2: Convert to fraction form
    85,129.82/127,674.18 = 37,718.70/x
  3. Step 3: Cross multiply
    85,129.82x = 127,674.18 × 37,718.70
  4. Step 4: Simplify right side
    85,129.82x = 4,815,704,093.17
  5. Step 5: Solve for x
    x = 4,815,704,093.17/85,129.82
  6. Step 6: Final answer
    x = 56,568.94

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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.