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Finding the Fourth Proportional to 145,493.53, 218,249.51 and 45,657.66

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Solution

The fourth proportional to 145,493.53, 218,249.51 and 45,657.66 is: 68,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.53 : 218,249.51 = 45,657.66 : x
  2. Step 2: Convert to fraction form
    145,493.53/218,249.51 = 45,657.66/x
  3. Step 3: Cross multiply
    145,493.53x = 218,249.51 × 45,657.66
  4. Step 4: Simplify right side
    145,493.53x = 9,964,761,922.75
  5. Step 5: Solve for x
    x = 9,964,761,922.75/145,493.53
  6. Step 6: Final answer
    x = 68,489.38

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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.