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Finding the Fourth Proportional to 198,881.72, 298,312.86 and 74,213

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Solution

The fourth proportional to 198,881.72, 298,312.86 and 74,213 is: 111,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,881.72 : 298,312.86 = 74,213 : x
  2. Step 2: Convert to fraction form
    198,881.72/298,312.86 = 74,213/x
  3. Step 3: Cross multiply
    198,881.72x = 298,312.86 × 74,213
  4. Step 4: Simplify right side
    198,881.72x = 22,138,692,279.18
  5. Step 5: Solve for x
    x = 22,138,692,279.18/198,881.72
  6. Step 6: Final answer
    x = 111,315.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.