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Finding the Fourth Proportional to 100,520.25, 150,550.74 and 47,966.64

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Solution

The fourth proportional to 100,520.25, 150,550.74 and 47,966.64 is: 71,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,520.25 : 150,550.74 = 47,966.64 : x
  2. Step 2: Convert to fraction form
    100,520.25/150,550.74 = 47,966.64/x
  3. Step 3: Cross multiply
    100,520.25x = 150,550.74 × 47,966.64
  4. Step 4: Simplify right side
    100,520.25x = 7,221,413,147.31
  5. Step 5: Solve for x
    x = 7,221,413,147.31/100,520.25
  6. Step 6: Final answer
    x = 71,840.38

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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.