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Finding the Fourth Proportional to 218,221.81, 301,143.19 and 122,728.50

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Solution

The fourth proportional to 218,221.81, 301,143.19 and 122,728.50 is: 169,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,221.81 : 301,143.19 = 122,728.50 : x
  2. Step 2: Convert to fraction form
    218,221.81/301,143.19 = 122,728.50/x
  3. Step 3: Cross multiply
    218,221.81x = 301,143.19 × 122,728.50
  4. Step 4: Simplify right side
    218,221.81x = 36,958,851,687.09
  5. Step 5: Solve for x
    x = 36,958,851,687.09/218,221.81
  6. Step 6: Final answer
    x = 169,363.70

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1.5x scale

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.