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Finding the Fourth Proportional to 66,536, 91,780.80 and 41,393.60

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Solution

The fourth proportional to 66,536, 91,780.80 and 41,393.60 is: 57,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,536 : 91,780.80 = 41,393.60 : x
  2. Step 2: Convert to fraction form
    66,536/91,780.80 = 41,393.60/x
  3. Step 3: Cross multiply
    66,536x = 91,780.80 × 41,393.60
  4. Step 4: Simplify right side
    66,536x = 3,799,137,722.88
  5. Step 5: Solve for x
    x = 3,799,137,722.88/66,536
  6. Step 6: Final answer
    x = 57,098.98

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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.