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Finding the Fourth Proportional to 211,063.91, 291,268.67 and 114,268.78

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Solution

The fourth proportional to 211,063.91, 291,268.67 and 114,268.78 is: 157,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,063.91 : 291,268.67 = 114,268.78 : x
  2. Step 2: Convert to fraction form
    211,063.91/291,268.67 = 114,268.78/x
  3. Step 3: Cross multiply
    211,063.91x = 291,268.67 × 114,268.78
  4. Step 4: Simplify right side
    211,063.91x = 33,282,915,391.08
  5. Step 5: Solve for x
    x = 33,282,915,391.08/211,063.91
  6. Step 6: Final answer
    x = 157,691.18

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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.