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Finding the Fourth Proportional to 211,511.82, 291,883.59 and 120,866.76

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Solution

The fourth proportional to 211,511.82, 291,883.59 and 120,866.76 is: 166,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,511.82 : 291,883.59 = 120,866.76 : x
  2. Step 2: Convert to fraction form
    211,511.82/291,883.59 = 120,866.76/x
  3. Step 3: Cross multiply
    211,511.82x = 291,883.59 × 120,866.76
  4. Step 4: Simplify right side
    211,511.82x = 35,279,023,820.47
  5. Step 5: Solve for x
    x = 35,279,023,820.47/211,511.82
  6. Step 6: Final answer
    x = 166,794.57

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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.