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Finding the Fourth Proportional to 220,303.75, 304,020 and 119,701.75

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Solution

The fourth proportional to 220,303.75, 304,020 and 119,701.75 is: 165,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,303.75 : 304,020 = 119,701.75 : x
  2. Step 2: Convert to fraction form
    220,303.75/304,020 = 119,701.75/x
  3. Step 3: Cross multiply
    220,303.75x = 304,020 × 119,701.75
  4. Step 4: Simplify right side
    220,303.75x = 36,391,726,035
  5. Step 5: Solve for x
    x = 36,391,726,035/220,303.75
  6. Step 6: Final answer
    x = 165,188.86

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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.