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Finding the Fourth Proportional to 189,770, 261,813.36 and 146,175.76

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Solution

The fourth proportional to 189,770, 261,813.36 and 146,175.76 is: 201,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770 : 261,813.36 = 146,175.76 : x
  2. Step 2: Convert to fraction form
    189,770/261,813.36 = 146,175.76/x
  3. Step 3: Cross multiply
    189,770x = 261,813.36 × 146,175.76
  4. Step 4: Simplify right side
    189,770x = 38,270,766,876.15
  5. Step 5: Solve for x
    x = 38,270,766,876.15/189,770
  6. Step 6: Final answer
    x = 201,669.21

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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.