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Finding the Fourth Proportional to 211,206, 291,392.52 and 120,496.80

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Solution

The fourth proportional to 211,206, 291,392.52 and 120,496.80 is: 166,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,206 : 291,392.52 = 120,496.80 : x
  2. Step 2: Convert to fraction form
    211,206/291,392.52 = 120,496.80/x
  3. Step 3: Cross multiply
    211,206x = 291,392.52 × 120,496.80
  4. Step 4: Simplify right side
    211,206x = 35,111,866,203.94
  5. Step 5: Solve for x
    x = 35,111,866,203.94/211,206
  6. Step 6: Final answer
    x = 166,244.64

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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.