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Finding the Fourth Proportional to 70,249.60, 105,220.80 and 54,582.40

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Solution

The fourth proportional to 70,249.60, 105,220.80 and 54,582.40 is: 81,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,249.60 : 105,220.80 = 54,582.40 : x
  2. Step 2: Convert to fraction form
    70,249.60/105,220.80 = 54,582.40/x
  3. Step 3: Cross multiply
    70,249.60x = 105,220.80 × 54,582.40
  4. Step 4: Simplify right side
    70,249.60x = 5,743,203,793.92
  5. Step 5: Solve for x
    x = 5,743,203,793.92/70,249.60
  6. Step 6: Final answer
    x = 81,754.26

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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.