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Finding the Fourth Proportional to 100,076.56, 150,114.72 and 47,457.34

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Solution

The fourth proportional to 100,076.56, 150,114.72 and 47,457.34 is: 71,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076.56 : 150,114.72 = 47,457.34 : x
  2. Step 2: Convert to fraction form
    100,076.56/150,114.72 = 47,457.34/x
  3. Step 3: Cross multiply
    100,076.56x = 150,114.72 × 47,457.34
  4. Step 4: Simplify right side
    100,076.56x = 7,124,045,306.04
  5. Step 5: Solve for x
    x = 7,124,045,306.04/100,076.56
  6. Step 6: Final answer
    x = 71,185.95

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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.