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Finding the Fourth Proportional to 66,709.92, 100,143.72 and 27,296.40

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Solution

The fourth proportional to 66,709.92, 100,143.72 and 27,296.40 is: 40,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709.92 : 100,143.72 = 27,296.40 : x
  2. Step 2: Convert to fraction form
    66,709.92/100,143.72 = 27,296.40/x
  3. Step 3: Cross multiply
    66,709.92x = 100,143.72 × 27,296.40
  4. Step 4: Simplify right side
    66,709.92x = 2,733,563,038.61
  5. Step 5: Solve for x
    x = 2,733,563,038.61/66,709.92
  6. Step 6: Final answer
    x = 40,976.86

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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.