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Finding the Fourth Proportional to 85,096.80, 127,718.10 and 37,784.70

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Solution

The fourth proportional to 85,096.80, 127,718.10 and 37,784.70 is: 56,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,096.80 : 127,718.10 = 37,784.70 : x
  2. Step 2: Convert to fraction form
    85,096.80/127,718.10 = 37,784.70/x
  3. Step 3: Cross multiply
    85,096.80x = 127,718.10 × 37,784.70
  4. Step 4: Simplify right side
    85,096.80x = 4,825,790,093.07
  5. Step 5: Solve for x
    x = 4,825,790,093.07/85,096.80
  6. Step 6: Final answer
    x = 56,709.42

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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.