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Finding the Fourth Proportional to 197,984, 296,232 and 138,934.88

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Solution

The fourth proportional to 197,984, 296,232 and 138,934.88 is: 207,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,984 : 296,232 = 138,934.88 : x
  2. Step 2: Convert to fraction form
    197,984/296,232 = 138,934.88/x
  3. Step 3: Cross multiply
    197,984x = 296,232 × 138,934.88
  4. Step 4: Simplify right side
    197,984x = 41,156,957,372.16
  5. Step 5: Solve for x
    x = 41,156,957,372.16/197,984
  6. Step 6: Final answer
    x = 207,880.22

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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.