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Finding the Fourth Proportional to 205,823.60, 308,778.60 and 63,657.20

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Solution

The fourth proportional to 205,823.60, 308,778.60 and 63,657.20 is: 95,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,823.60 : 308,778.60 = 63,657.20 : x
  2. Step 2: Convert to fraction form
    205,823.60/308,778.60 = 63,657.20/x
  3. Step 3: Cross multiply
    205,823.60x = 308,778.60 × 63,657.20
  4. Step 4: Simplify right side
    205,823.60x = 19,655,981,095.92
  5. Step 5: Solve for x
    x = 19,655,981,095.92/205,823.60
  6. Step 6: Final answer
    x = 95,499.16

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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.