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Finding the Fourth Proportional to 85,411.69, 117,867.11 and 47,172.79

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Solution

The fourth proportional to 85,411.69, 117,867.11 and 47,172.79 is: 65,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.69 : 117,867.11 = 47,172.79 : x
  2. Step 2: Convert to fraction form
    85,411.69/117,867.11 = 47,172.79/x
  3. Step 3: Cross multiply
    85,411.69x = 117,867.11 × 47,172.79
  4. Step 4: Simplify right side
    85,411.69x = 5,560,120,836.84
  5. Step 5: Solve for x
    x = 5,560,120,836.84/85,411.69
  6. Step 6: Final answer
    x = 65,097.89

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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.