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Finding the Fourth Proportional to 206,009.13, 309,015.62 and 72,911.95

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Solution

The fourth proportional to 206,009.13, 309,015.62 and 72,911.95 is: 109,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,009.13 : 309,015.62 = 72,911.95 : x
  2. Step 2: Convert to fraction form
    206,009.13/309,015.62 = 72,911.95/x
  3. Step 3: Cross multiply
    206,009.13x = 309,015.62 × 72,911.95
  4. Step 4: Simplify right side
    206,009.13x = 22,530,931,434.66
  5. Step 5: Solve for x
    x = 22,530,931,434.66/206,009.13
  6. Step 6: Final answer
    x = 109,368.61

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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.