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Finding the Fourth Proportional to 138,381.56, 206,814.16 and 101,020.31

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Solution

The fourth proportional to 138,381.56, 206,814.16 and 101,020.31 is: 150,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,381.56 : 206,814.16 = 101,020.31 : x
  2. Step 2: Convert to fraction form
    138,381.56/206,814.16 = 101,020.31/x
  3. Step 3: Cross multiply
    138,381.56x = 206,814.16 × 101,020.31
  4. Step 4: Simplify right side
    138,381.56x = 20,892,429,855.11
  5. Step 5: Solve for x
    x = 20,892,429,855.11/138,381.56
  6. Step 6: Final answer
    x = 150,976.98

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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.