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Finding the Fourth Proportional to 211,067.83, 291,276.83 and 115,583.41

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Solution

The fourth proportional to 211,067.83, 291,276.83 and 115,583.41 is: 159,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,067.83 : 291,276.83 = 115,583.41 : x
  2. Step 2: Convert to fraction form
    211,067.83/291,276.83 = 115,583.41/x
  3. Step 3: Cross multiply
    211,067.83x = 291,276.83 × 115,583.41
  4. Step 4: Simplify right side
    211,067.83x = 33,666,767,959.28
  5. Step 5: Solve for x
    x = 33,666,767,959.28/211,067.83
  6. Step 6: Final answer
    x = 159,506.87

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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.