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Finding the Fourth Proportional to 100,811.52, 150,986.16 and 48,257.64

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Solution

The fourth proportional to 100,811.52, 150,986.16 and 48,257.64 is: 72,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811.52 : 150,986.16 = 48,257.64 : x
  2. Step 2: Convert to fraction form
    100,811.52/150,986.16 = 48,257.64/x
  3. Step 3: Cross multiply
    100,811.52x = 150,986.16 × 48,257.64
  4. Step 4: Simplify right side
    100,811.52x = 7,286,235,754.26
  5. Step 5: Solve for x
    x = 7,286,235,754.26/100,811.52
  6. Step 6: Final answer
    x = 72,275.82

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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.