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Finding the Fourth Proportional to 76,800, 106,019.52 and 54,157.44

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Solution

The fourth proportional to 76,800, 106,019.52 and 54,157.44 is: 74,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 106,019.52 = 54,157.44 : x
  2. Step 2: Convert to fraction form
    76,800/106,019.52 = 54,157.44/x
  3. Step 3: Cross multiply
    76,800x = 106,019.52 × 54,157.44
  4. Step 4: Simplify right side
    76,800x = 5,741,745,793.23
  5. Step 5: Solve for x
    x = 5,741,745,793.23/76,800
  6. Step 6: Final answer
    x = 74,762.32

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1.5x scale

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.