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Finding the Fourth Proportional to 138,006.24, 206,958.48 and 49,236

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Solution

The fourth proportional to 138,006.24, 206,958.48 and 49,236 is: 73,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,006.24 : 206,958.48 = 49,236 : x
  2. Step 2: Convert to fraction form
    138,006.24/206,958.48 = 49,236/x
  3. Step 3: Cross multiply
    138,006.24x = 206,958.48 × 49,236
  4. Step 4: Simplify right side
    138,006.24x = 10,189,807,721.28
  5. Step 5: Solve for x
    x = 10,189,807,721.28/138,006.24
  6. Step 6: Final answer
    x = 73,835.85

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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.