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Finding the Fourth Proportional to 145,793.85, 218,757.41 and 65,853.19

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Solution

The fourth proportional to 145,793.85, 218,757.41 and 65,853.19 is: 98,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,793.85 : 218,757.41 = 65,853.19 : x
  2. Step 2: Convert to fraction form
    145,793.85/218,757.41 = 65,853.19/x
  3. Step 3: Cross multiply
    145,793.85x = 218,757.41 × 65,853.19
  4. Step 4: Simplify right side
    145,793.85x = 14,405,873,168.14
  5. Step 5: Solve for x
    x = 14,405,873,168.14/145,793.85
  6. Step 6: Final answer
    x = 98,809.88

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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.