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Finding the Fourth Proportional to 216,694.44, 299,032.56 and 121,211.64

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Solution

The fourth proportional to 216,694.44, 299,032.56 and 121,211.64 is: 167,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,694.44 : 299,032.56 = 121,211.64 : x
  2. Step 2: Convert to fraction form
    216,694.44/299,032.56 = 121,211.64/x
  3. Step 3: Cross multiply
    216,694.44x = 299,032.56 × 121,211.64
  4. Step 4: Simplify right side
    216,694.44x = 36,246,227,011.00
  5. Step 5: Solve for x
    x = 36,246,227,011.00/216,694.44
  6. Step 6: Final answer
    x = 167,268.84

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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.