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Finding the Fourth Proportional to 211,167, 291,410.46 and 115,674.08

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Solution

The fourth proportional to 211,167, 291,410.46 and 115,674.08 is: 159,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,167 : 291,410.46 = 115,674.08 : x
  2. Step 2: Convert to fraction form
    211,167/291,410.46 = 115,674.08/x
  3. Step 3: Cross multiply
    211,167x = 291,410.46 × 115,674.08
  4. Step 4: Simplify right side
    211,167x = 33,708,635,405.82
  5. Step 5: Solve for x
    x = 33,708,635,405.82/211,167
  6. Step 6: Final answer
    x = 159,630.22

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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.