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Finding the Fourth Proportional to 138,203.96, 207,349.77 and 49,455.50

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Solution

The fourth proportional to 138,203.96, 207,349.77 and 49,455.50 is: 74,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,203.96 : 207,349.77 = 49,455.50 : x
  2. Step 2: Convert to fraction form
    138,203.96/207,349.77 = 49,455.50/x
  3. Step 3: Cross multiply
    138,203.96x = 207,349.77 × 49,455.50
  4. Step 4: Simplify right side
    138,203.96x = 10,254,586,550.24
  5. Step 5: Solve for x
    x = 10,254,586,550.24/138,203.96
  6. Step 6: Final answer
    x = 74,198.93

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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.