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Finding the Fourth Proportional to 198,109.40, 297,196.90 and 64,953.90

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Solution

The fourth proportional to 198,109.40, 297,196.90 and 64,953.90 is: 97,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,109.40 : 297,196.90 = 64,953.90 : x
  2. Step 2: Convert to fraction form
    198,109.40/297,196.90 = 64,953.90/x
  3. Step 3: Cross multiply
    198,109.40x = 297,196.90 × 64,953.90
  4. Step 4: Simplify right side
    198,109.40x = 19,304,097,560.53
  5. Step 5: Solve for x
    x = 19,304,097,560.53/198,109.40
  6. Step 6: Final answer
    x = 97,441.61

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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.