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Finding the Fourth Proportional to 211,447.44, 291,791.16 and 120,803.04

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Solution

The fourth proportional to 211,447.44, 291,791.16 and 120,803.04 is: 166,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,447.44 : 291,791.16 = 120,803.04 : x
  2. Step 2: Convert to fraction form
    211,447.44/291,791.16 = 120,803.04/x
  3. Step 3: Cross multiply
    211,447.44x = 291,791.16 × 120,803.04
  4. Step 4: Simplify right side
    211,447.44x = 35,249,259,173.13
  5. Step 5: Solve for x
    x = 35,249,259,173.13/211,447.44
  6. Step 6: Final answer
    x = 166,704.59

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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.