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Finding the Fourth Proportional to 66,861, 100,296.36 and 25,308

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Solution

The fourth proportional to 66,861, 100,296.36 and 25,308 is: 37,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861 : 100,296.36 = 25,308 : x
  2. Step 2: Convert to fraction form
    66,861/100,296.36 = 25,308/x
  3. Step 3: Cross multiply
    66,861x = 100,296.36 × 25,308
  4. Step 4: Simplify right side
    66,861x = 2,538,300,278.88
  5. Step 5: Solve for x
    x = 2,538,300,278.88/66,861
  6. Step 6: Final answer
    x = 37,963.84

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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.