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Finding the Fourth Proportional to 106,695.76, 160,144.08 and 54,142.96

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Solution

The fourth proportional to 106,695.76, 160,144.08 and 54,142.96 is: 81,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,695.76 : 160,144.08 = 54,142.96 : x
  2. Step 2: Convert to fraction form
    106,695.76/160,144.08 = 54,142.96/x
  3. Step 3: Cross multiply
    106,695.76x = 160,144.08 × 54,142.96
  4. Step 4: Simplify right side
    106,695.76x = 8,670,674,517.68
  5. Step 5: Solve for x
    x = 8,670,674,517.68/106,695.76
  6. Step 6: Final answer
    x = 81,265.41

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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.