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Finding the Fourth Proportional to 198,889.98, 274,420.28 and 117,221.49

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Solution

The fourth proportional to 198,889.98, 274,420.28 and 117,221.49 is: 161,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889.98 : 274,420.28 = 117,221.49 : x
  2. Step 2: Convert to fraction form
    198,889.98/274,420.28 = 117,221.49/x
  3. Step 3: Cross multiply
    198,889.98x = 274,420.28 × 117,221.49
  4. Step 4: Simplify right side
    198,889.98x = 32,167,953,521.71
  5. Step 5: Solve for x
    x = 32,167,953,521.71/198,889.98
  6. Step 6: Final answer
    x = 161,737.43

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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.