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Finding the Fourth Proportional to 66,084, 91,194.84 and 37,788.72

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Solution

The fourth proportional to 66,084, 91,194.84 and 37,788.72 is: 52,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 91,194.84 = 37,788.72 : x
  2. Step 2: Convert to fraction form
    66,084/91,194.84 = 37,788.72/x
  3. Step 3: Cross multiply
    66,084x = 91,194.84 × 37,788.72
  4. Step 4: Simplify right side
    66,084x = 3,446,136,274.20
  5. Step 5: Solve for x
    x = 3,446,136,274.20/66,084
  6. Step 6: Final answer
    x = 52,147.82

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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.