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Finding the Fourth Proportional to 100,757.28, 151,168.64 and 48,170.80

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Solution

The fourth proportional to 100,757.28, 151,168.64 and 48,170.80 is: 72,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,757.28 : 151,168.64 = 48,170.80 : x
  2. Step 2: Convert to fraction form
    100,757.28/151,168.64 = 48,170.80/x
  3. Step 3: Cross multiply
    100,757.28x = 151,168.64 × 48,170.80
  4. Step 4: Simplify right side
    100,757.28x = 7,281,914,323.71
  5. Step 5: Solve for x
    x = 7,281,914,323.71/100,757.28
  6. Step 6: Final answer
    x = 72,271.84

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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.