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Finding the Fourth Proportional to 137,550, 205,393.68 and 109,151.24

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Solution

The fourth proportional to 137,550, 205,393.68 and 109,151.24 is: 162,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,550 : 205,393.68 = 109,151.24 : x
  2. Step 2: Convert to fraction form
    137,550/205,393.68 = 109,151.24/x
  3. Step 3: Cross multiply
    137,550x = 205,393.68 × 109,151.24
  4. Step 4: Simplify right side
    137,550x = 22,418,974,860.16
  5. Step 5: Solve for x
    x = 22,418,974,860.16/137,550
  6. Step 6: Final answer
    x = 162,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.