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Finding the Fourth Proportional to 85,199.47, 127,856.09 and 29,795.47

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Solution

The fourth proportional to 85,199.47, 127,856.09 and 29,795.47 is: 44,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,199.47 : 127,856.09 = 29,795.47 : x
  2. Step 2: Convert to fraction form
    85,199.47/127,856.09 = 29,795.47/x
  3. Step 3: Cross multiply
    85,199.47x = 127,856.09 × 29,795.47
  4. Step 4: Simplify right side
    85,199.47x = 3,809,532,293.91
  5. Step 5: Solve for x
    x = 3,809,532,293.91/85,199.47
  6. Step 6: Final answer
    x = 44,713.10

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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.