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Finding the Fourth Proportional to 137,954.71, 206,932.19 and 43,192.98

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Solution

The fourth proportional to 137,954.71, 206,932.19 and 43,192.98 is: 64,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954.71 : 206,932.19 = 43,192.98 : x
  2. Step 2: Convert to fraction form
    137,954.71/206,932.19 = 43,192.98/x
  3. Step 3: Cross multiply
    137,954.71x = 206,932.19 × 43,192.98
  4. Step 4: Simplify right side
    137,954.71x = 8,938,017,728.06
  5. Step 5: Solve for x
    x = 8,938,017,728.06/137,954.71
  6. Step 6: Final answer
    x = 64,789.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.