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Finding the Fourth Proportional to 106,999.80, 160,845.30 and 76,049.40

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Solution

The fourth proportional to 106,999.80, 160,845.30 and 76,049.40 is: 114,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999.80 : 160,845.30 = 76,049.40 : x
  2. Step 2: Convert to fraction form
    106,999.80/160,845.30 = 76,049.40/x
  3. Step 3: Cross multiply
    106,999.80x = 160,845.30 × 76,049.40
  4. Step 4: Simplify right side
    106,999.80x = 12,232,188,557.82
  5. Step 5: Solve for x
    x = 12,232,188,557.82/106,999.80
  6. Step 6: Final answer
    x = 114,319.73

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1.5x scale

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.