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Finding the Fourth Proportional to 66,269, 91,451.22 and 36,461

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Solution

The fourth proportional to 66,269, 91,451.22 and 36,461 is: 50,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,269 : 91,451.22 = 36,461 : x
  2. Step 2: Convert to fraction form
    66,269/91,451.22 = 36,461/x
  3. Step 3: Cross multiply
    66,269x = 91,451.22 × 36,461
  4. Step 4: Simplify right side
    66,269x = 3,334,402,932.42
  5. Step 5: Solve for x
    x = 3,334,402,932.42/66,269
  6. Step 6: Final answer
    x = 50,316.18

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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.