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Finding the Fourth Proportional to 146,918, 202,747.56 and 79,850

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Solution

The fourth proportional to 146,918, 202,747.56 and 79,850 is: 110,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,918 : 202,747.56 = 79,850 : x
  2. Step 2: Convert to fraction form
    146,918/202,747.56 = 79,850/x
  3. Step 3: Cross multiply
    146,918x = 202,747.56 × 79,850
  4. Step 4: Simplify right side
    146,918x = 16,189,392,666
  5. Step 5: Solve for x
    x = 16,189,392,666/146,918
  6. Step 6: Final answer
    x = 110,193.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.