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Finding the Fourth Proportional to 211,458.62, 291,816.64 and 115,964.48

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Solution

The fourth proportional to 211,458.62, 291,816.64 and 115,964.48 is: 160,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458.62 : 291,816.64 = 115,964.48 : x
  2. Step 2: Convert to fraction form
    211,458.62/291,816.64 = 115,964.48/x
  3. Step 3: Cross multiply
    211,458.62x = 291,816.64 × 115,964.48
  4. Step 4: Simplify right side
    211,458.62x = 33,840,365,787.44
  5. Step 5: Solve for x
    x = 33,840,365,787.44/211,458.62
  6. Step 6: Final answer
    x = 160,033.04

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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.