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Finding the Fourth Proportional to 100,586.48, 150,912.48 and 47,989.16

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Solution

The fourth proportional to 100,586.48, 150,912.48 and 47,989.16 is: 71,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.48 : 150,912.48 = 47,989.16 : x
  2. Step 2: Convert to fraction form
    100,586.48/150,912.48 = 47,989.16/x
  3. Step 3: Cross multiply
    100,586.48x = 150,912.48 × 47,989.16
  4. Step 4: Simplify right side
    100,586.48x = 7,242,163,148.72
  5. Step 5: Solve for x
    x = 7,242,163,148.72/100,586.48
  6. Step 6: Final answer
    x = 71,999.37

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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.