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Finding the Fourth Proportional to 198,537, 273,981.06 and 109,113

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Solution

The fourth proportional to 198,537, 273,981.06 and 109,113 is: 150,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,537 : 273,981.06 = 109,113 : x
  2. Step 2: Convert to fraction form
    198,537/273,981.06 = 109,113/x
  3. Step 3: Cross multiply
    198,537x = 273,981.06 × 109,113
  4. Step 4: Simplify right side
    198,537x = 29,894,895,399.78
  5. Step 5: Solve for x
    x = 29,894,895,399.78/198,537
  6. Step 6: Final answer
    x = 150,575.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.