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Finding the Fourth Proportional to 199,904.65, 275,689.78 and 165,859.21

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Solution

The fourth proportional to 199,904.65, 275,689.78 and 165,859.21 is: 228,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,904.65 : 275,689.78 = 165,859.21 : x
  2. Step 2: Convert to fraction form
    199,904.65/275,689.78 = 165,859.21/x
  3. Step 3: Cross multiply
    199,904.65x = 275,689.78 × 165,859.21
  4. Step 4: Simplify right side
    199,904.65x = 45,725,688,286.58
  5. Step 5: Solve for x
    x = 45,725,688,286.58/199,904.65
  6. Step 6: Final answer
    x = 228,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.