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Finding the Fourth Proportional to 66,165.88, 91,274.68 and 40,971.64

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Solution

The fourth proportional to 66,165.88, 91,274.68 and 40,971.64 is: 56,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,165.88 : 91,274.68 = 40,971.64 : x
  2. Step 2: Convert to fraction form
    66,165.88/91,274.68 = 40,971.64/x
  3. Step 3: Cross multiply
    66,165.88x = 91,274.68 × 40,971.64
  4. Step 4: Simplify right side
    66,165.88x = 3,739,673,330.08
  5. Step 5: Solve for x
    x = 3,739,673,330.08/66,165.88
  6. Step 6: Final answer
    x = 56,519.66

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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.