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Finding the Fourth Proportional to 123,494.14, 170,422.41 and 66,905.52

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Solution

The fourth proportional to 123,494.14, 170,422.41 and 66,905.52 is: 92,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,494.14 : 170,422.41 = 66,905.52 : x
  2. Step 2: Convert to fraction form
    123,494.14/170,422.41 = 66,905.52/x
  3. Step 3: Cross multiply
    123,494.14x = 170,422.41 × 66,905.52
  4. Step 4: Simplify right side
    123,494.14x = 11,402,199,960.70
  5. Step 5: Solve for x
    x = 11,402,199,960.70/123,494.14
  6. Step 6: Final answer
    x = 92,329.89

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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.