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Finding the Fourth Proportional to 211,005.52, 291,211.01 and 120,383.83

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Solution

The fourth proportional to 211,005.52, 291,211.01 and 120,383.83 is: 166,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005.52 : 291,211.01 = 120,383.83 : x
  2. Step 2: Convert to fraction form
    211,005.52/291,211.01 = 120,383.83/x
  3. Step 3: Cross multiply
    211,005.52x = 291,211.01 × 120,383.83
  4. Step 4: Simplify right side
    211,005.52x = 35,057,096,721.97
  5. Step 5: Solve for x
    x = 35,057,096,721.97/211,005.52
  6. Step 6: Final answer
    x = 166,143.03

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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.