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Finding the Fourth Proportional to 221,064.32, 331,694.40 and 115,858.16

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Solution

The fourth proportional to 221,064.32, 331,694.40 and 115,858.16 is: 173,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,064.32 : 331,694.40 = 115,858.16 : x
  2. Step 2: Convert to fraction form
    221,064.32/331,694.40 = 115,858.16/x
  3. Step 3: Cross multiply
    221,064.32x = 331,694.40 × 115,858.16
  4. Step 4: Simplify right side
    221,064.32x = 38,429,502,866.30
  5. Step 5: Solve for x
    x = 38,429,502,866.30/221,064.32
  6. Step 6: Final answer
    x = 173,838.56

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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.