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Finding the Fourth Proportional to 215,967.80, 298,033.53 and 119,172.56

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Solution

The fourth proportional to 215,967.80, 298,033.53 and 119,172.56 is: 164,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,967.80 : 298,033.53 = 119,172.56 : x
  2. Step 2: Convert to fraction form
    215,967.80/298,033.53 = 119,172.56/x
  3. Step 3: Cross multiply
    215,967.80x = 298,033.53 × 119,172.56
  4. Step 4: Simplify right side
    215,967.80x = 35,517,418,735.94
  5. Step 5: Solve for x
    x = 35,517,418,735.94/215,967.80
  6. Step 6: Final answer
    x = 164,457.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.