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Finding the Fourth Proportional to 100,723.20, 150,955.20 and 48,019.20

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Solution

The fourth proportional to 100,723.20, 150,955.20 and 48,019.20 is: 71,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,723.20 : 150,955.20 = 48,019.20 : x
  2. Step 2: Convert to fraction form
    100,723.20/150,955.20 = 48,019.20/x
  3. Step 3: Cross multiply
    100,723.20x = 150,955.20 × 48,019.20
  4. Step 4: Simplify right side
    100,723.20x = 7,248,747,939.84
  5. Step 5: Solve for x
    x = 7,248,747,939.84/100,723.20
  6. Step 6: Final answer
    x = 71,967.01

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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.