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Finding the Fourth Proportional to 213,175.12, 319,645.10 and 86,783

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Solution

The fourth proportional to 213,175.12, 319,645.10 and 86,783 is: 130,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175.12 : 319,645.10 = 86,783 : x
  2. Step 2: Convert to fraction form
    213,175.12/319,645.10 = 86,783/x
  3. Step 3: Cross multiply
    213,175.12x = 319,645.10 × 86,783
  4. Step 4: Simplify right side
    213,175.12x = 27,739,760,713.30
  5. Step 5: Solve for x
    x = 27,739,760,713.30/213,175.12
  6. Step 6: Final answer
    x = 130,126.63

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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.