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Finding the Fourth Proportional to 214,886.43, 322,394.10 and 86,736.77

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Solution

The fourth proportional to 214,886.43, 322,394.10 and 86,736.77 is: 130,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.43 : 322,394.10 = 86,736.77 : x
  2. Step 2: Convert to fraction form
    214,886.43/322,394.10 = 86,736.77/x
  3. Step 3: Cross multiply
    214,886.43x = 322,394.10 × 86,736.77
  4. Step 4: Simplify right side
    214,886.43x = 27,963,424,230.22
  5. Step 5: Solve for x
    x = 27,963,424,230.22/214,886.43
  6. Step 6: Final answer
    x = 130,131.18

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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.