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Finding the Fourth Proportional to 172,115.91, 257,621.04 and 91,953.45

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Solution

The fourth proportional to 172,115.91, 257,621.04 and 91,953.45 is: 137,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,115.91 : 257,621.04 = 91,953.45 : x
  2. Step 2: Convert to fraction form
    172,115.91/257,621.04 = 91,953.45/x
  3. Step 3: Cross multiply
    172,115.91x = 257,621.04 × 91,953.45
  4. Step 4: Simplify right side
    172,115.91x = 23,689,143,420.59
  5. Step 5: Solve for x
    x = 23,689,143,420.59/172,115.91
  6. Step 6: Final answer
    x = 137,634.83

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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.