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Finding the Fourth Proportional to 145,917.78, 218,770.10 and 98,414.80

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Solution

The fourth proportional to 145,917.78, 218,770.10 and 98,414.80 is: 147,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,917.78 : 218,770.10 = 98,414.80 : x
  2. Step 2: Convert to fraction form
    145,917.78/218,770.10 = 98,414.80/x
  3. Step 3: Cross multiply
    145,917.78x = 218,770.10 × 98,414.80
  4. Step 4: Simplify right side
    145,917.78x = 21,530,215,637.48
  5. Step 5: Solve for x
    x = 21,530,215,637.48/145,917.78
  6. Step 6: Final answer
    x = 147,550.32

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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.