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Finding the Fourth Proportional to 211,755.89, 292,185 and 119,874.55

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Solution

The fourth proportional to 211,755.89, 292,185 and 119,874.55 is: 165,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,755.89 : 292,185 = 119,874.55 : x
  2. Step 2: Convert to fraction form
    211,755.89/292,185 = 119,874.55/x
  3. Step 3: Cross multiply
    211,755.89x = 292,185 × 119,874.55
  4. Step 4: Simplify right side
    211,755.89x = 35,025,544,661.29
  5. Step 5: Solve for x
    x = 35,025,544,661.29/211,755.89
  6. Step 6: Final answer
    x = 165,405.30

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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.