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Finding the Fourth Proportional to 198,432, 297,648 and 124,611.84

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Solution

The fourth proportional to 198,432, 297,648 and 124,611.84 is: 186,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 297,648 = 124,611.84 : x
  2. Step 2: Convert to fraction form
    198,432/297,648 = 124,611.84/x
  3. Step 3: Cross multiply
    198,432x = 297,648 × 124,611.84
  4. Step 4: Simplify right side
    198,432x = 37,090,464,952.32
  5. Step 5: Solve for x
    x = 37,090,464,952.32/198,432
  6. Step 6: Final answer
    x = 186,917.76

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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.