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Finding the Fourth Proportional to 198,498.84, 297,746.32 and 80,168.08

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Solution

The fourth proportional to 198,498.84, 297,746.32 and 80,168.08 is: 120,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,498.84 : 297,746.32 = 80,168.08 : x
  2. Step 2: Convert to fraction form
    198,498.84/297,746.32 = 80,168.08/x
  3. Step 3: Cross multiply
    198,498.84x = 297,746.32 × 80,168.08
  4. Step 4: Simplify right side
    198,498.84x = 23,869,750,801.47
  5. Step 5: Solve for x
    x = 23,869,750,801.47/198,498.84
  6. Step 6: Final answer
    x = 120,251.34

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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.