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Finding the Fourth Proportional to 205,605.60, 308,161.62 and 105,812.88

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Solution

The fourth proportional to 205,605.60, 308,161.62 and 105,812.88 is: 158,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,605.60 : 308,161.62 = 105,812.88 : x
  2. Step 2: Convert to fraction form
    205,605.60/308,161.62 = 105,812.88/x
  3. Step 3: Cross multiply
    205,605.60x = 308,161.62 × 105,812.88
  4. Step 4: Simplify right side
    205,605.60x = 32,607,468,517.67
  5. Step 5: Solve for x
    x = 32,607,468,517.67/205,605.60
  6. Step 6: Final answer
    x = 158,592.32

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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.