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Finding the Fourth Proportional to 198,840.76, 274,400.24 and 109,416.76

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Solution

The fourth proportional to 198,840.76, 274,400.24 and 109,416.76 is: 150,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,840.76 : 274,400.24 = 109,416.76 : x
  2. Step 2: Convert to fraction form
    198,840.76/274,400.24 = 109,416.76/x
  3. Step 3: Cross multiply
    198,840.76x = 274,400.24 × 109,416.76
  4. Step 4: Simplify right side
    198,840.76x = 30,023,985,204.02
  5. Step 5: Solve for x
    x = 30,023,985,204.02/198,840.76
  6. Step 6: Final answer
    x = 150,995.12

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1.5x scale

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.