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Finding the Fourth Proportional to 220,133, 303,783.54 and 119,531

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Solution

The fourth proportional to 220,133, 303,783.54 and 119,531 is: 164,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,133 : 303,783.54 = 119,531 : x
  2. Step 2: Convert to fraction form
    220,133/303,783.54 = 119,531/x
  3. Step 3: Cross multiply
    220,133x = 303,783.54 × 119,531
  4. Step 4: Simplify right side
    220,133x = 36,311,550,319.74
  5. Step 5: Solve for x
    x = 36,311,550,319.74/220,133
  6. Step 6: Final answer
    x = 164,952.78

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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.