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Finding the Fourth Proportional to 205,802.88, 308,759.74 and 105,908.62

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Solution

The fourth proportional to 205,802.88, 308,759.74 and 105,908.62 is: 158,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.88 : 308,759.74 = 105,908.62 : x
  2. Step 2: Convert to fraction form
    205,802.88/308,759.74 = 105,908.62/x
  3. Step 3: Cross multiply
    205,802.88x = 308,759.74 × 105,908.62
  4. Step 4: Simplify right side
    205,802.88x = 32,700,317,974.96
  5. Step 5: Solve for x
    x = 32,700,317,974.96/205,802.88
  6. Step 6: Final answer
    x = 158,891.45

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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.