Home / 106,912-160,294.08-76,944.64

Finding the Fourth Proportional to 106,912, 160,294.08 and 76,944.64

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Solution

The fourth proportional to 106,912, 160,294.08 and 76,944.64 is: 115,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912 : 160,294.08 = 76,944.64 : x
  2. Step 2: Convert to fraction form
    106,912/160,294.08 = 76,944.64/x
  3. Step 3: Cross multiply
    106,912x = 160,294.08 × 76,944.64
  4. Step 4: Simplify right side
    106,912x = 12,333,770,279.73
  5. Step 5: Solve for x
    x = 12,333,770,279.73/106,912
  6. Step 6: Final answer
    x = 115,363.76

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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.