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Finding the Fourth Proportional to 198,997.95, 274,603.31 and 112,958.67

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Solution

The fourth proportional to 198,997.95, 274,603.31 and 112,958.67 is: 155,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,997.95 : 274,603.31 = 112,958.67 : x
  2. Step 2: Convert to fraction form
    198,997.95/274,603.31 = 112,958.67/x
  3. Step 3: Cross multiply
    198,997.95x = 274,603.31 × 112,958.67
  4. Step 4: Simplify right side
    198,997.95x = 31,018,824,675.20
  5. Step 5: Solve for x
    x = 31,018,824,675.20/198,997.95
  6. Step 6: Final answer
    x = 155,875.10

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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.