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Finding the Fourth Proportional to 115,096.81, 172,644.84 and 51,842.90

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Solution

The fourth proportional to 115,096.81, 172,644.84 and 51,842.90 is: 77,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,096.81 : 172,644.84 = 51,842.90 : x
  2. Step 2: Convert to fraction form
    115,096.81/172,644.84 = 51,842.90/x
  3. Step 3: Cross multiply
    115,096.81x = 172,644.84 × 51,842.90
  4. Step 4: Simplify right side
    115,096.81x = 8,950,409,175.64
  5. Step 5: Solve for x
    x = 8,950,409,175.64/115,096.81
  6. Step 6: Final answer
    x = 77,764.18

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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.