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Finding the Fourth Proportional to 211,368.96, 291,691.57 and 120,736.98

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Solution

The fourth proportional to 211,368.96, 291,691.57 and 120,736.98 is: 166,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,368.96 : 291,691.57 = 120,736.98 : x
  2. Step 2: Convert to fraction form
    211,368.96/291,691.57 = 120,736.98/x
  3. Step 3: Cross multiply
    211,368.96x = 291,691.57 × 120,736.98
  4. Step 4: Simplify right side
    211,368.96x = 35,217,960,284.33
  5. Step 5: Solve for x
    x = 35,217,960,284.33/211,368.96
  6. Step 6: Final answer
    x = 166,618.41

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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.