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Finding the Fourth Proportional to 115,145.82, 172,699.90 and 81,764.91

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Solution

The fourth proportional to 115,145.82, 172,699.90 and 81,764.91 is: 122,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,145.82 : 172,699.90 = 81,764.91 : x
  2. Step 2: Convert to fraction form
    115,145.82/172,699.90 = 81,764.91/x
  3. Step 3: Cross multiply
    115,145.82x = 172,699.90 × 81,764.91
  4. Step 4: Simplify right side
    115,145.82x = 14,120,791,576.10
  5. Step 5: Solve for x
    x = 14,120,791,576.10/115,145.82
  6. Step 6: Final answer
    x = 122,633.99

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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.