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Finding the Fourth Proportional to 106,974.80, 160,462.20 and 78,981.20

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Solution

The fourth proportional to 106,974.80, 160,462.20 and 78,981.20 is: 118,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,974.80 : 160,462.20 = 78,981.20 : x
  2. Step 2: Convert to fraction form
    106,974.80/160,462.20 = 78,981.20/x
  3. Step 3: Cross multiply
    106,974.80x = 160,462.20 × 78,981.20
  4. Step 4: Simplify right side
    106,974.80x = 12,673,497,110.64
  5. Step 5: Solve for x
    x = 12,673,497,110.64/106,974.80
  6. Step 6: Final answer
    x = 118,471.80

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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.