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Finding the Fourth Proportional to 211,266.29, 316,914.07 and 84,906.64

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Solution

The fourth proportional to 211,266.29, 316,914.07 and 84,906.64 is: 127,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.29 : 316,914.07 = 84,906.64 : x
  2. Step 2: Convert to fraction form
    211,266.29/316,914.07 = 84,906.64/x
  3. Step 3: Cross multiply
    211,266.29x = 316,914.07 × 84,906.64
  4. Step 4: Simplify right side
    211,266.29x = 26,908,110,142.53
  5. Step 5: Solve for x
    x = 26,908,110,142.53/211,266.29
  6. Step 6: Final answer
    x = 127,365.85

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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.