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Finding the Fourth Proportional to 213,078.30, 319,396.05 and 86,664.30

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Solution

The fourth proportional to 213,078.30, 319,396.05 and 86,664.30 is: 129,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,078.30 : 319,396.05 = 86,664.30 : x
  2. Step 2: Convert to fraction form
    213,078.30/319,396.05 = 86,664.30/x
  3. Step 3: Cross multiply
    213,078.30x = 319,396.05 × 86,664.30
  4. Step 4: Simplify right side
    213,078.30x = 27,680,235,096.02
  5. Step 5: Solve for x
    x = 27,680,235,096.02/213,078.30
  6. Step 6: Final answer
    x = 129,906.40

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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.