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Finding the Fourth Proportional to 168,404.10, 232,391.84 and 100,386

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Solution

The fourth proportional to 168,404.10, 232,391.84 and 100,386 is: 138,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,404.10 : 232,391.84 = 100,386 : x
  2. Step 2: Convert to fraction form
    168,404.10/232,391.84 = 100,386/x
  3. Step 3: Cross multiply
    168,404.10x = 232,391.84 × 100,386
  4. Step 4: Simplify right side
    168,404.10x = 23,328,886,748.31
  5. Step 5: Solve for x
    x = 23,328,886,748.31/168,404.10
  6. Step 6: Final answer
    x = 138,529.21

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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.