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Finding the Fourth Proportional to 66,407.09, 91,639.08 and 36,191.79

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Solution

The fourth proportional to 66,407.09, 91,639.08 and 36,191.79 is: 49,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,407.09 : 91,639.08 = 36,191.79 : x
  2. Step 2: Convert to fraction form
    66,407.09/91,639.08 = 36,191.79/x
  3. Step 3: Cross multiply
    66,407.09x = 91,639.08 × 36,191.79
  4. Step 4: Simplify right side
    66,407.09x = 3,316,582,339.15
  5. Step 5: Solve for x
    x = 3,316,582,339.15/66,407.09
  6. Step 6: Final answer
    x = 49,943.20

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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.