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Finding the Fourth Proportional to 205,838.40, 308,728.80 and 65,611.20

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Solution

The fourth proportional to 205,838.40, 308,728.80 and 65,611.20 is: 98,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.40 : 308,728.80 = 65,611.20 : x
  2. Step 2: Convert to fraction form
    205,838.40/308,728.80 = 65,611.20/x
  3. Step 3: Cross multiply
    205,838.40x = 308,728.80 × 65,611.20
  4. Step 4: Simplify right side
    205,838.40x = 20,256,067,042.56
  5. Step 5: Solve for x
    x = 20,256,067,042.56/205,838.40
  6. Step 6: Final answer
    x = 98,407.62

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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.