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Finding the Fourth Proportional to 220,150, 303,810.78 and 119,548

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Solution

The fourth proportional to 220,150, 303,810.78 and 119,548 is: 164,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,150 : 303,810.78 = 119,548 : x
  2. Step 2: Convert to fraction form
    220,150/303,810.78 = 119,548/x
  3. Step 3: Cross multiply
    220,150x = 303,810.78 × 119,548
  4. Step 4: Simplify right side
    220,150x = 36,319,971,127.44
  5. Step 5: Solve for x
    x = 36,319,971,127.44/220,150
  6. Step 6: Final answer
    x = 164,978.29

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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.