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Finding the Fourth Proportional to 211,367.76, 291,691.26 and 114,574.78

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Solution

The fourth proportional to 211,367.76, 291,691.26 and 114,574.78 is: 158,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,367.76 : 291,691.26 = 114,574.78 : x
  2. Step 2: Convert to fraction form
    211,367.76/291,691.26 = 114,574.78/x
  3. Step 3: Cross multiply
    211,367.76x = 291,691.26 × 114,574.78
  4. Step 4: Simplify right side
    211,367.76x = 33,420,461,942.42
  5. Step 5: Solve for x
    x = 33,420,461,942.42/211,367.76
  6. Step 6: Final answer
    x = 158,115.23

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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.