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Finding the Fourth Proportional to 220,074, 303,705.80 and 119,472

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Solution

The fourth proportional to 220,074, 303,705.80 and 119,472 is: 164,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,074 : 303,705.80 = 119,472 : x
  2. Step 2: Convert to fraction form
    220,074/303,705.80 = 119,472/x
  3. Step 3: Cross multiply
    220,074x = 303,705.80 × 119,472
  4. Step 4: Simplify right side
    220,074x = 36,284,339,337.60
  5. Step 5: Solve for x
    x = 36,284,339,337.60/220,074
  6. Step 6: Final answer
    x = 164,873.36

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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.