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Finding the Fourth Proportional to 66,411.83, 91,647.74 and 36,197.15

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Solution

The fourth proportional to 66,411.83, 91,647.74 and 36,197.15 is: 49,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411.83 : 91,647.74 = 36,197.15 : x
  2. Step 2: Convert to fraction form
    66,411.83/91,647.74 = 36,197.15/x
  3. Step 3: Cross multiply
    66,411.83x = 91,647.74 × 36,197.15
  4. Step 4: Simplify right side
    66,411.83x = 3,317,386,901.45
  5. Step 5: Solve for x
    x = 3,317,386,901.45/66,411.83
  6. Step 6: Final answer
    x = 49,951.75

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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.