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Finding the Fourth Proportional to 137,345.94, 206,954.78 and 112,932.88

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Solution

The fourth proportional to 137,345.94, 206,954.78 and 112,932.88 is: 170,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,345.94 : 206,954.78 = 112,932.88 : x
  2. Step 2: Convert to fraction form
    137,345.94/206,954.78 = 112,932.88/x
  3. Step 3: Cross multiply
    137,345.94x = 206,954.78 × 112,932.88
  4. Step 4: Simplify right side
    137,345.94x = 23,371,999,335.17
  5. Step 5: Solve for x
    x = 23,371,999,335.17/137,345.94
  6. Step 6: Final answer
    x = 170,168.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.