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Finding the Fourth Proportional to 212,781.62, 293,640.62 and 117,291.73

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Solution

The fourth proportional to 212,781.62, 293,640.62 and 117,291.73 is: 161,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,781.62 : 293,640.62 = 117,291.73 : x
  2. Step 2: Convert to fraction form
    212,781.62/293,640.62 = 117,291.73/x
  3. Step 3: Cross multiply
    212,781.62x = 293,640.62 × 117,291.73
  4. Step 4: Simplify right side
    212,781.62x = 34,441,616,318.07
  5. Step 5: Solve for x
    x = 34,441,616,318.07/212,781.62
  6. Step 6: Final answer
    x = 161,863.68

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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.