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Finding the Fourth Proportional to 66,409.76, 91,642.82 and 36,194.45

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Solution

The fourth proportional to 66,409.76, 91,642.82 and 36,194.45 is: 49,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409.76 : 91,642.82 = 36,194.45 : x
  2. Step 2: Convert to fraction form
    66,409.76/91,642.82 = 36,194.45/x
  3. Step 3: Cross multiply
    66,409.76x = 91,642.82 × 36,194.45
  4. Step 4: Simplify right side
    66,409.76x = 3,316,961,514.48
  5. Step 5: Solve for x
    x = 3,316,961,514.48/66,409.76
  6. Step 6: Final answer
    x = 49,946.90

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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.