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Finding the Fourth Proportional to 123,726.64, 170,743.23 and 67,138.01

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Solution

The fourth proportional to 123,726.64, 170,743.23 and 67,138.01 is: 92,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,726.64 : 170,743.23 = 67,138.01 : x
  2. Step 2: Convert to fraction form
    123,726.64/170,743.23 = 67,138.01/x
  3. Step 3: Cross multiply
    123,726.64x = 170,743.23 × 67,138.01
  4. Step 4: Simplify right side
    123,726.64x = 11,463,360,814.49
  5. Step 5: Solve for x
    x = 11,463,360,814.49/123,726.64
  6. Step 6: Final answer
    x = 92,650.71

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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.