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Finding the Fourth Proportional to 66,911.83, 100,280.25 and 27,422.71

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Solution

The fourth proportional to 66,911.83, 100,280.25 and 27,422.71 is: 41,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,911.83 : 100,280.25 = 27,422.71 : x
  2. Step 2: Convert to fraction form
    66,911.83/100,280.25 = 27,422.71/x
  3. Step 3: Cross multiply
    66,911.83x = 100,280.25 × 27,422.71
  4. Step 4: Simplify right side
    66,911.83x = 2,749,956,214.48
  5. Step 5: Solve for x
    x = 2,749,956,214.48/66,911.83
  6. Step 6: Final answer
    x = 41,098.21

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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.