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Finding the Fourth Proportional to 50,758, 70,046.04 and 28,406.32

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Solution

The fourth proportional to 50,758, 70,046.04 and 28,406.32 is: 39,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,758 : 70,046.04 = 28,406.32 : x
  2. Step 2: Convert to fraction form
    50,758/70,046.04 = 28,406.32/x
  3. Step 3: Cross multiply
    50,758x = 70,046.04 × 28,406.32
  4. Step 4: Simplify right side
    50,758x = 1,989,750,226.97
  5. Step 5: Solve for x
    x = 1,989,750,226.97/50,758
  6. Step 6: Final answer
    x = 39,200.72

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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.