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Finding the Fourth Proportional to 198,971, 274,580.10 and 109,547

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Solution

The fourth proportional to 198,971, 274,580.10 and 109,547 is: 151,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,971 : 274,580.10 = 109,547 : x
  2. Step 2: Convert to fraction form
    198,971/274,580.10 = 109,547/x
  3. Step 3: Cross multiply
    198,971x = 274,580.10 × 109,547
  4. Step 4: Simplify right side
    198,971x = 30,079,426,214.70
  5. Step 5: Solve for x
    x = 30,079,426,214.70/198,971
  6. Step 6: Final answer
    x = 151,174.93

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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.