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Finding the Fourth Proportional to 211,387.78, 291,714.74 and 115,900.66

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Solution

The fourth proportional to 211,387.78, 291,714.74 and 115,900.66 is: 159,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,387.78 : 291,714.74 = 115,900.66 : x
  2. Step 2: Convert to fraction form
    211,387.78/291,714.74 = 115,900.66/x
  3. Step 3: Cross multiply
    211,387.78x = 291,714.74 × 115,900.66
  4. Step 4: Simplify right side
    211,387.78x = 33,809,928,859.65
  5. Step 5: Solve for x
    x = 33,809,928,859.65/211,387.78
  6. Step 6: Final answer
    x = 159,942.69

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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.