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Finding the Fourth Proportional to 211,367.61, 291,689.69 and 120,735.54

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Solution

The fourth proportional to 211,367.61, 291,689.69 and 120,735.54 is: 166,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,367.61 : 291,689.69 = 120,735.54 : x
  2. Step 2: Convert to fraction form
    211,367.61/291,689.69 = 120,735.54/x
  3. Step 3: Cross multiply
    211,367.61x = 291,689.69 × 120,735.54
  4. Step 4: Simplify right side
    211,367.61x = 35,217,311,630.90
  5. Step 5: Solve for x
    x = 35,217,311,630.90/211,367.61
  6. Step 6: Final answer
    x = 166,616.41

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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.