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Finding the Fourth Proportional to 66,409.26, 91,642.10 and 36,193.94

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Solution

The fourth proportional to 66,409.26, 91,642.10 and 36,193.94 is: 49,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409.26 : 91,642.10 = 36,193.94 : x
  2. Step 2: Convert to fraction form
    66,409.26/91,642.10 = 36,193.94/x
  3. Step 3: Cross multiply
    66,409.26x = 91,642.10 × 36,193.94
  4. Step 4: Simplify right side
    66,409.26x = 3,316,888,029.69
  5. Step 5: Solve for x
    x = 3,316,888,029.69/66,409.26
  6. Step 6: Final answer
    x = 49,946.17

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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.