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Finding the Fourth Proportional to 202,766.40, 304,152 and 122,821.80

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Solution

The fourth proportional to 202,766.40, 304,152 and 122,821.80 is: 184,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766.40 : 304,152 = 122,821.80 : x
  2. Step 2: Convert to fraction form
    202,766.40/304,152 = 122,821.80/x
  3. Step 3: Cross multiply
    202,766.40x = 304,152 × 122,821.80
  4. Step 4: Simplify right side
    202,766.40x = 37,356,496,113.60
  5. Step 5: Solve for x
    x = 37,356,496,113.60/202,766.40
  6. Step 6: Final answer
    x = 184,234.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.