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Finding the Fourth Proportional to 218,057.96, 326,889.84 and 77,783.24

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Solution

The fourth proportional to 218,057.96, 326,889.84 and 77,783.24 is: 116,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,057.96 : 326,889.84 = 77,783.24 : x
  2. Step 2: Convert to fraction form
    218,057.96/326,889.84 = 77,783.24/x
  3. Step 3: Cross multiply
    218,057.96x = 326,889.84 × 77,783.24
  4. Step 4: Simplify right side
    218,057.96x = 25,426,550,878.28
  5. Step 5: Solve for x
    x = 25,426,550,878.28/218,057.96
  6. Step 6: Final answer
    x = 116,604.55

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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.