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Finding the Fourth Proportional to 66,089, 91,204.26 and 36,281

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Solution

The fourth proportional to 66,089, 91,204.26 and 36,281 is: 50,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,089 : 91,204.26 = 36,281 : x
  2. Step 2: Convert to fraction form
    66,089/91,204.26 = 36,281/x
  3. Step 3: Cross multiply
    66,089x = 91,204.26 × 36,281
  4. Step 4: Simplify right side
    66,089x = 3,308,981,757.06
  5. Step 5: Solve for x
    x = 3,308,981,757.06/66,089
  6. Step 6: Final answer
    x = 50,068.57

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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.