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Finding the Fourth Proportional to 66,063.72, 91,167.84 and 37,770

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Solution

The fourth proportional to 66,063.72, 91,167.84 and 37,770 is: 52,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,063.72 : 91,167.84 = 37,770 : x
  2. Step 2: Convert to fraction form
    66,063.72/91,167.84 = 37,770/x
  3. Step 3: Cross multiply
    66,063.72x = 91,167.84 × 37,770
  4. Step 4: Simplify right side
    66,063.72x = 3,443,409,316.80
  5. Step 5: Solve for x
    x = 3,443,409,316.80/66,063.72
  6. Step 6: Final answer
    x = 52,122.55

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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.