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Finding the Fourth Proportional to 66,143.98, 91,280.22 and 35,930.50

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Solution

The fourth proportional to 66,143.98, 91,280.22 and 35,930.50 is: 49,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,143.98 : 91,280.22 = 35,930.50 : x
  2. Step 2: Convert to fraction form
    66,143.98/91,280.22 = 35,930.50/x
  3. Step 3: Cross multiply
    66,143.98x = 91,280.22 × 35,930.50
  4. Step 4: Simplify right side
    66,143.98x = 3,279,743,944.71
  5. Step 5: Solve for x
    x = 3,279,743,944.71/66,143.98
  6. Step 6: Final answer
    x = 49,584.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.