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Finding the Fourth Proportional to 66,543.49, 91,828.53 and 36,327.64

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Solution

The fourth proportional to 66,543.49, 91,828.53 and 36,327.64 is: 50,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543.49 : 91,828.53 = 36,327.64 : x
  2. Step 2: Convert to fraction form
    66,543.49/91,828.53 = 36,327.64/x
  3. Step 3: Cross multiply
    66,543.49x = 91,828.53 × 36,327.64
  4. Step 4: Simplify right side
    66,543.49x = 3,335,913,779.57
  5. Step 5: Solve for x
    x = 3,335,913,779.57/66,543.49
  6. Step 6: Final answer
    x = 50,131.33

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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.