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Finding the Fourth Proportional to 200,739.18, 301,109.28 and 67,712.76

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Solution

The fourth proportional to 200,739.18, 301,109.28 and 67,712.76 is: 101,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739.18 : 301,109.28 = 67,712.76 : x
  2. Step 2: Convert to fraction form
    200,739.18/301,109.28 = 67,712.76/x
  3. Step 3: Cross multiply
    200,739.18x = 301,109.28 × 67,712.76
  4. Step 4: Simplify right side
    200,739.18x = 20,388,940,410.41
  5. Step 5: Solve for x
    x = 20,388,940,410.41/200,739.18
  6. Step 6: Final answer
    x = 101,569.31

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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.