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Finding the Fourth Proportional to 151,803.20, 227,769.60 and 72,876.80

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Solution

The fourth proportional to 151,803.20, 227,769.60 and 72,876.80 is: 109,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,803.20 : 227,769.60 = 72,876.80 : x
  2. Step 2: Convert to fraction form
    151,803.20/227,769.60 = 72,876.80/x
  3. Step 3: Cross multiply
    151,803.20x = 227,769.60 × 72,876.80
  4. Step 4: Simplify right side
    151,803.20x = 16,599,119,585.28
  5. Step 5: Solve for x
    x = 16,599,119,585.28/151,803.20
  6. Step 6: Final answer
    x = 109,346.31

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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.