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Finding the Fourth Proportional to 145,493.65, 218,249.69 and 45,657.78

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Solution

The fourth proportional to 145,493.65, 218,249.69 and 45,657.78 is: 68,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.65 : 218,249.69 = 45,657.78 : x
  2. Step 2: Convert to fraction form
    145,493.65/218,249.69 = 45,657.78/x
  3. Step 3: Cross multiply
    145,493.65x = 218,249.69 × 45,657.78
  4. Step 4: Simplify right side
    145,493.65x = 9,964,796,331.09
  5. Step 5: Solve for x
    x = 9,964,796,331.09/145,493.65
  6. Step 6: Final answer
    x = 68,489.56

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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.