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Finding the Fourth Proportional to 66,409.22, 91,642.04 and 36,193.89

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Solution

The fourth proportional to 66,409.22, 91,642.04 and 36,193.89 is: 49,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409.22 : 91,642.04 = 36,193.89 : x
  2. Step 2: Convert to fraction form
    66,409.22/91,642.04 = 36,193.89/x
  3. Step 3: Cross multiply
    66,409.22x = 91,642.04 × 36,193.89
  4. Step 4: Simplify right side
    66,409.22x = 3,316,881,734.17
  5. Step 5: Solve for x
    x = 3,316,881,734.17/66,409.22
  6. Step 6: Final answer
    x = 49,946.11

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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.