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Finding the Fourth Proportional to 66,535, 91,818.42 and 36,727

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Solution

The fourth proportional to 66,535, 91,818.42 and 36,727 is: 50,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535 : 91,818.42 = 36,727 : x
  2. Step 2: Convert to fraction form
    66,535/91,818.42 = 36,727/x
  3. Step 3: Cross multiply
    66,535x = 91,818.42 × 36,727
  4. Step 4: Simplify right side
    66,535x = 3,372,215,111.34
  5. Step 5: Solve for x
    x = 3,372,215,111.34/66,535
  6. Step 6: Final answer
    x = 50,683.33

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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.