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Finding the Fourth Proportional to 205,412.60, 308,162.10 and 116,593.40

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Solution

The fourth proportional to 205,412.60, 308,162.10 and 116,593.40 is: 174,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.60 : 308,162.10 = 116,593.40 : x
  2. Step 2: Convert to fraction form
    205,412.60/308,162.10 = 116,593.40/x
  3. Step 3: Cross multiply
    205,412.60x = 308,162.10 × 116,593.40
  4. Step 4: Simplify right side
    205,412.60x = 35,929,666,990.14
  5. Step 5: Solve for x
    x = 35,929,666,990.14/205,412.60
  6. Step 6: Final answer
    x = 174,914.62

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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.