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Finding the Fourth Proportional to 198,881, 274,460.10 and 109,457

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Solution

The fourth proportional to 198,881, 274,460.10 and 109,457 is: 151,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,881 : 274,460.10 = 109,457 : x
  2. Step 2: Convert to fraction form
    198,881/274,460.10 = 109,457/x
  3. Step 3: Cross multiply
    198,881x = 274,460.10 × 109,457
  4. Step 4: Simplify right side
    198,881x = 30,041,579,165.70
  5. Step 5: Solve for x
    x = 30,041,579,165.70/198,881
  6. Step 6: Final answer
    x = 151,053.04

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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.