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Finding the Fourth Proportional to 211,121.40, 316,098.90 and 164,465.40

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Solution

The fourth proportional to 211,121.40, 316,098.90 and 164,465.40 is: 246,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,121.40 : 316,098.90 = 164,465.40 : x
  2. Step 2: Convert to fraction form
    211,121.40/316,098.90 = 164,465.40/x
  3. Step 3: Cross multiply
    211,121.40x = 316,098.90 × 164,465.40
  4. Step 4: Simplify right side
    211,121.40x = 51,987,332,028.06
  5. Step 5: Solve for x
    x = 51,987,332,028.06/211,121.40
  6. Step 6: Final answer
    x = 246,243.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.