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Finding the Fourth Proportional to 145,369.80, 218,080.62 and 40,186.44

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Solution

The fourth proportional to 145,369.80, 218,080.62 and 40,186.44 is: 60,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,369.80 : 218,080.62 = 40,186.44 : x
  2. Step 2: Convert to fraction form
    145,369.80/218,080.62 = 40,186.44/x
  3. Step 3: Cross multiply
    145,369.80x = 218,080.62 × 40,186.44
  4. Step 4: Simplify right side
    145,369.80x = 8,763,883,750.79
  5. Step 5: Solve for x
    x = 8,763,883,750.79/145,369.80
  6. Step 6: Final answer
    x = 60,286.83

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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.