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Finding the Fourth Proportional to 205,837.60, 308,151.60 and 153,479.20

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Solution

The fourth proportional to 205,837.60, 308,151.60 and 153,479.20 is: 229,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,837.60 : 308,151.60 = 153,479.20 : x
  2. Step 2: Convert to fraction form
    205,837.60/308,151.60 = 153,479.20/x
  3. Step 3: Cross multiply
    205,837.60x = 308,151.60 × 153,479.20
  4. Step 4: Simplify right side
    205,837.60x = 47,294,861,046.72
  5. Step 5: Solve for x
    x = 47,294,861,046.72/205,837.60
  6. Step 6: Final answer
    x = 229,767.84

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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.