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Finding the Fourth Proportional to 138,145.80, 206,927.10 and 123,371.40

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Solution

The fourth proportional to 138,145.80, 206,927.10 and 123,371.40 is: 184,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.80 : 206,927.10 = 123,371.40 : x
  2. Step 2: Convert to fraction form
    138,145.80/206,927.10 = 123,371.40/x
  3. Step 3: Cross multiply
    138,145.80x = 206,927.10 × 123,371.40
  4. Step 4: Simplify right side
    138,145.80x = 25,528,886,024.94
  5. Step 5: Solve for x
    x = 25,528,886,024.94/138,145.80
  6. Step 6: Final answer
    x = 184,796.69

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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.