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Finding the Fourth Proportional to 198,981, 298,283.94 and 99,046.74

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Solution

The fourth proportional to 198,981, 298,283.94 and 99,046.74 is: 148,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,981 : 298,283.94 = 99,046.74 : x
  2. Step 2: Convert to fraction form
    198,981/298,283.94 = 99,046.74/x
  3. Step 3: Cross multiply
    198,981x = 298,283.94 × 99,046.74
  4. Step 4: Simplify right side
    198,981x = 29,544,051,851.36
  5. Step 5: Solve for x
    x = 29,544,051,851.36/198,981
  6. Step 6: Final answer
    x = 148,476.75

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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.