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Finding the Fourth Proportional to 138,598.46, 207,898 and 33,417.54

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Solution

The fourth proportional to 138,598.46, 207,898 and 33,417.54 is: 50,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,598.46 : 207,898 = 33,417.54 : x
  2. Step 2: Convert to fraction form
    138,598.46/207,898 = 33,417.54/x
  3. Step 3: Cross multiply
    138,598.46x = 207,898 × 33,417.54
  4. Step 4: Simplify right side
    138,598.46x = 6,947,439,730.92
  5. Step 5: Solve for x
    x = 6,947,439,730.92/138,598.46
  6. Step 6: Final answer
    x = 50,126.38

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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.