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Finding the Fourth Proportional to 212,853, 319,279.62 and 65,109

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Solution

The fourth proportional to 212,853, 319,279.62 and 65,109 is: 97,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,853 : 319,279.62 = 65,109 : x
  2. Step 2: Convert to fraction form
    212,853/319,279.62 = 65,109/x
  3. Step 3: Cross multiply
    212,853x = 319,279.62 × 65,109
  4. Step 4: Simplify right side
    212,853x = 20,787,976,778.58
  5. Step 5: Solve for x
    x = 20,787,976,778.58/212,853
  6. Step 6: Final answer
    x = 97,663.54

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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.