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Finding the Fourth Proportional to 145,705.33, 218,570.37 and 40,524.30

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Solution

The fourth proportional to 145,705.33, 218,570.37 and 40,524.30 is: 60,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,705.33 : 218,570.37 = 40,524.30 : x
  2. Step 2: Convert to fraction form
    145,705.33/218,570.37 = 40,524.30/x
  3. Step 3: Cross multiply
    145,705.33x = 218,570.37 × 40,524.30
  4. Step 4: Simplify right side
    145,705.33x = 8,857,410,698.57
  5. Step 5: Solve for x
    x = 8,857,410,698.57/145,705.33
  6. Step 6: Final answer
    x = 60,789.89

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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.