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Finding the Fourth Proportional to 198,248.78, 297,404.28 and 65,098.76

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Solution

The fourth proportional to 198,248.78, 297,404.28 and 65,098.76 is: 97,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,248.78 : 297,404.28 = 65,098.76 : x
  2. Step 2: Convert to fraction form
    198,248.78/297,404.28 = 65,098.76/x
  3. Step 3: Cross multiply
    198,248.78x = 297,404.28 × 65,098.76
  4. Step 4: Simplify right side
    198,248.78x = 19,360,649,846.69
  5. Step 5: Solve for x
    x = 19,360,649,846.69/198,248.78
  6. Step 6: Final answer
    x = 97,658.36

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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.