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Finding the Fourth Proportional to 171,448.92, 257,079.64 and 136,137.07

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Solution

The fourth proportional to 171,448.92, 257,079.64 and 136,137.07 is: 204,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,448.92 : 257,079.64 = 136,137.07 : x
  2. Step 2: Convert to fraction form
    171,448.92/257,079.64 = 136,137.07/x
  3. Step 3: Cross multiply
    171,448.92x = 257,079.64 × 136,137.07
  4. Step 4: Simplify right side
    171,448.92x = 34,998,068,265.57
  5. Step 5: Solve for x
    x = 34,998,068,265.57/171,448.92
  6. Step 6: Final answer
    x = 204,131.17

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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.