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Finding the Fourth Proportional to 198,156.56, 297,172.41 and 65,005.79

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Solution

The fourth proportional to 198,156.56, 297,172.41 and 65,005.79 is: 97,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,156.56 : 297,172.41 = 65,005.79 : x
  2. Step 2: Convert to fraction form
    198,156.56/297,172.41 = 65,005.79/x
  3. Step 3: Cross multiply
    198,156.56x = 297,172.41 × 65,005.79
  4. Step 4: Simplify right side
    198,156.56x = 19,317,927,777.41
  5. Step 5: Solve for x
    x = 19,317,927,777.41/198,156.56
  6. Step 6: Final answer
    x = 97,488.21

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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.