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Finding the Fourth Proportional to 211,164.77, 291,412.09 and 120,518.91

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Solution

The fourth proportional to 211,164.77, 291,412.09 and 120,518.91 is: 166,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164.77 : 291,412.09 = 120,518.91 : x
  2. Step 2: Convert to fraction form
    211,164.77/291,412.09 = 120,518.91/x
  3. Step 3: Cross multiply
    211,164.77x = 291,412.09 × 120,518.91
  4. Step 4: Simplify right side
    211,164.77x = 35,120,667,146.32
  5. Step 5: Solve for x
    x = 35,120,667,146.32/211,164.77
  6. Step 6: Final answer
    x = 166,318.78

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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.