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Finding the Fourth Proportional to 211,105.94, 291,326.64 and 114,310.86

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Solution

The fourth proportional to 211,105.94, 291,326.64 and 114,310.86 is: 157,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,105.94 : 291,326.64 = 114,310.86 : x
  2. Step 2: Convert to fraction form
    211,105.94/291,326.64 = 114,310.86/x
  3. Step 3: Cross multiply
    211,105.94x = 291,326.64 × 114,310.86
  4. Step 4: Simplify right side
    211,105.94x = 33,301,798,759.31
  5. Step 5: Solve for x
    x = 33,301,798,759.31/211,105.94
  6. Step 6: Final answer
    x = 157,749.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.