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Finding the Fourth Proportional to 219,722, 303,216.36 and 119,120

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Solution

The fourth proportional to 219,722, 303,216.36 and 119,120 is: 164,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,722 : 303,216.36 = 119,120 : x
  2. Step 2: Convert to fraction form
    219,722/303,216.36 = 119,120/x
  3. Step 3: Cross multiply
    219,722x = 303,216.36 × 119,120
  4. Step 4: Simplify right side
    219,722x = 36,119,132,803.20
  5. Step 5: Solve for x
    x = 36,119,132,803.20/219,722
  6. Step 6: Final answer
    x = 164,385.60

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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.