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Finding the Fourth Proportional to 72,144, 108,120.96 and 30,539.52

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Solution

The fourth proportional to 72,144, 108,120.96 and 30,539.52 is: 45,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,144 : 108,120.96 = 30,539.52 : x
  2. Step 2: Convert to fraction form
    72,144/108,120.96 = 30,539.52/x
  3. Step 3: Cross multiply
    72,144x = 108,120.96 × 30,539.52
  4. Step 4: Simplify right side
    72,144x = 3,301,962,220.34
  5. Step 5: Solve for x
    x = 3,301,962,220.34/72,144
  6. Step 6: Final answer
    x = 45,769.05

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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.