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Finding the Fourth Proportional to 146,646, 219,969 and 53,151.84

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Solution

The fourth proportional to 146,646, 219,969 and 53,151.84 is: 79,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,646 : 219,969 = 53,151.84 : x
  2. Step 2: Convert to fraction form
    146,646/219,969 = 53,151.84/x
  3. Step 3: Cross multiply
    146,646x = 219,969 × 53,151.84
  4. Step 4: Simplify right side
    146,646x = 11,691,757,092.96
  5. Step 5: Solve for x
    x = 11,691,757,092.96/146,646
  6. Step 6: Final answer
    x = 79,727.76

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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.