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Finding the Fourth Proportional to 66,411, 91,648.50 and 36,196.20

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Solution

The fourth proportional to 66,411, 91,648.50 and 36,196.20 is: 49,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411 : 91,648.50 = 36,196.20 : x
  2. Step 2: Convert to fraction form
    66,411/91,648.50 = 36,196.20/x
  3. Step 3: Cross multiply
    66,411x = 91,648.50 × 36,196.20
  4. Step 4: Simplify right side
    66,411x = 3,317,327,435.70
  5. Step 5: Solve for x
    x = 3,317,327,435.70/66,411
  6. Step 6: Final answer
    x = 49,951.48

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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.