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Finding the Fourth Proportional to 144,300.96, 216,450 and 80,300.16

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Solution

The fourth proportional to 144,300.96, 216,450 and 80,300.16 is: 120,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,300.96 : 216,450 = 80,300.16 : x
  2. Step 2: Convert to fraction form
    144,300.96/216,450 = 80,300.16/x
  3. Step 3: Cross multiply
    144,300.96x = 216,450 × 80,300.16
  4. Step 4: Simplify right side
    144,300.96x = 17,380,969,632
  5. Step 5: Solve for x
    x = 17,380,969,632/144,300.96
  6. Step 6: Final answer
    x = 120,449.44

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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.