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Finding the Fourth Proportional to 197,688, 295,788 and 138,638.88

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Solution

The fourth proportional to 197,688, 295,788 and 138,638.88 is: 207,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,688 : 295,788 = 138,638.88 : x
  2. Step 2: Convert to fraction form
    197,688/295,788 = 138,638.88/x
  3. Step 3: Cross multiply
    197,688x = 295,788 × 138,638.88
  4. Step 4: Simplify right side
    197,688x = 41,007,717,037.44
  5. Step 5: Solve for x
    x = 41,007,717,037.44/197,688
  6. Step 6: Final answer
    x = 207,436.55

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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.