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Finding the Fourth Proportional to 205,869.60, 308,727.60 and 81,184.80

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Solution

The fourth proportional to 205,869.60, 308,727.60 and 81,184.80 is: 121,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,869.60 : 308,727.60 = 81,184.80 : x
  2. Step 2: Convert to fraction form
    205,869.60/308,727.60 = 81,184.80/x
  3. Step 3: Cross multiply
    205,869.60x = 308,727.60 × 81,184.80
  4. Step 4: Simplify right side
    205,869.60x = 25,063,988,460.48
  5. Step 5: Solve for x
    x = 25,063,988,460.48/205,869.60
  6. Step 6: Final answer
    x = 121,746.91

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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.