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Finding the Fourth Proportional to 123,726.47, 170,742.99 and 67,137.84

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Solution

The fourth proportional to 123,726.47, 170,742.99 and 67,137.84 is: 92,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,726.47 : 170,742.99 = 67,137.84 : x
  2. Step 2: Convert to fraction form
    123,726.47/170,742.99 = 67,137.84/x
  3. Step 3: Cross multiply
    123,726.47x = 170,742.99 × 67,137.84
  4. Step 4: Simplify right side
    123,726.47x = 11,463,315,543.74
  5. Step 5: Solve for x
    x = 11,463,315,543.74/123,726.47
  6. Step 6: Final answer
    x = 92,650.47

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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.