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Finding the Fourth Proportional to 138,994.17, 208,489.56 and 33,813.24

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Solution

The fourth proportional to 138,994.17, 208,489.56 and 33,813.24 is: 50,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,994.17 : 208,489.56 = 33,813.24 : x
  2. Step 2: Convert to fraction form
    138,994.17/208,489.56 = 33,813.24/x
  3. Step 3: Cross multiply
    138,994.17x = 208,489.56 × 33,813.24
  4. Step 4: Simplify right side
    138,994.17x = 7,049,707,529.77
  5. Step 5: Solve for x
    x = 7,049,707,529.77/138,994.17
  6. Step 6: Final answer
    x = 50,719.45

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1.5x scale

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.