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Finding the Fourth Proportional to 198,901.50, 274,484.08 and 109,477.50

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Solution

The fourth proportional to 198,901.50, 274,484.08 and 109,477.50 is: 151,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,901.50 : 274,484.08 = 109,477.50 : x
  2. Step 2: Convert to fraction form
    198,901.50/274,484.08 = 109,477.50/x
  3. Step 3: Cross multiply
    198,901.50x = 274,484.08 × 109,477.50
  4. Step 4: Simplify right side
    198,901.50x = 30,049,830,868.20
  5. Step 5: Solve for x
    x = 30,049,830,868.20/198,901.50
  6. Step 6: Final answer
    x = 151,078.96

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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.