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Finding the Fourth Proportional to 138,763.10, 208,145.83 and 33,582.14

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Solution

The fourth proportional to 138,763.10, 208,145.83 and 33,582.14 is: 50,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763.10 : 208,145.83 = 33,582.14 : x
  2. Step 2: Convert to fraction form
    138,763.10/208,145.83 = 33,582.14/x
  3. Step 3: Cross multiply
    138,763.10x = 208,145.83 × 33,582.14
  4. Step 4: Simplify right side
    138,763.10x = 6,989,982,403.48
  5. Step 5: Solve for x
    x = 6,989,982,403.48/138,763.10
  6. Step 6: Final answer
    x = 50,373.50

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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.