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Finding the Fourth Proportional to 105,480.75, 158,247.05 and 31,608.75

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Solution

The fourth proportional to 105,480.75, 158,247.05 and 31,608.75 is: 47,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480.75 : 158,247.05 = 31,608.75 : x
  2. Step 2: Convert to fraction form
    105,480.75/158,247.05 = 31,608.75/x
  3. Step 3: Cross multiply
    105,480.75x = 158,247.05 × 31,608.75
  4. Step 4: Simplify right side
    105,480.75x = 5,001,991,441.69
  5. Step 5: Solve for x
    x = 5,001,991,441.69/105,480.75
  6. Step 6: Final answer
    x = 47,420.89

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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.