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Finding the Fourth Proportional to 131,797, 197,199.50 and 92,430.92

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Solution

The fourth proportional to 131,797, 197,199.50 and 92,430.92 is: 138,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,797 : 197,199.50 = 92,430.92 : x
  2. Step 2: Convert to fraction form
    131,797/197,199.50 = 92,430.92/x
  3. Step 3: Cross multiply
    131,797x = 197,199.50 × 92,430.92
  4. Step 4: Simplify right side
    131,797x = 18,227,331,208.54
  5. Step 5: Solve for x
    x = 18,227,331,208.54/131,797
  6. Step 6: Final answer
    x = 138,298.53

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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.