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Finding the Fourth Proportional to 212,638.83, 319,091.79 and 86,279.64

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Solution

The fourth proportional to 212,638.83, 319,091.79 and 86,279.64 is: 129,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,638.83 : 319,091.79 = 86,279.64 : x
  2. Step 2: Convert to fraction form
    212,638.83/319,091.79 = 86,279.64/x
  3. Step 3: Cross multiply
    212,638.83x = 319,091.79 × 86,279.64
  4. Step 4: Simplify right side
    212,638.83x = 27,531,124,768.16
  5. Step 5: Solve for x
    x = 27,531,124,768.16/212,638.83
  6. Step 6: Final answer
    x = 129,473.65

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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.