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Finding the Fourth Proportional to 66,015, 91,100.70 and 36,207

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Solution

The fourth proportional to 66,015, 91,100.70 and 36,207 is: 49,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 91,100.70 = 36,207 : x
  2. Step 2: Convert to fraction form
    66,015/91,100.70 = 36,207/x
  3. Step 3: Cross multiply
    66,015x = 91,100.70 × 36,207
  4. Step 4: Simplify right side
    66,015x = 3,298,483,044.90
  5. Step 5: Solve for x
    x = 3,298,483,044.90/66,015
  6. Step 6: Final answer
    x = 49,965.66

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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.