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Finding the Fourth Proportional to 137,422.68, 206,123.94 and 43,903.32

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Solution

The fourth proportional to 137,422.68, 206,123.94 and 43,903.32 is: 65,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,422.68 : 206,123.94 = 43,903.32 : x
  2. Step 2: Convert to fraction form
    137,422.68/206,123.94 = 43,903.32/x
  3. Step 3: Cross multiply
    137,422.68x = 206,123.94 × 43,903.32
  4. Step 4: Simplify right side
    137,422.68x = 9,049,525,297.48
  5. Step 5: Solve for x
    x = 9,049,525,297.48/137,422.68
  6. Step 6: Final answer
    x = 65,851.76

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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.