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Finding the Fourth Proportional to 198,728.46, 297,802.86 and 92,145

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Solution

The fourth proportional to 198,728.46, 297,802.86 and 92,145 is: 138,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,728.46 : 297,802.86 = 92,145 : x
  2. Step 2: Convert to fraction form
    198,728.46/297,802.86 = 92,145/x
  3. Step 3: Cross multiply
    198,728.46x = 297,802.86 × 92,145
  4. Step 4: Simplify right side
    198,728.46x = 27,441,044,534.70
  5. Step 5: Solve for x
    x = 27,441,044,534.70/198,728.46
  6. Step 6: Final answer
    x = 138,083.11

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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.