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Finding the Fourth Proportional to 213,202.98, 319,736.43 and 86,842.98

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Solution

The fourth proportional to 213,202.98, 319,736.43 and 86,842.98 is: 130,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202.98 : 319,736.43 = 86,842.98 : x
  2. Step 2: Convert to fraction form
    213,202.98/319,736.43 = 86,842.98/x
  3. Step 3: Cross multiply
    213,202.98x = 319,736.43 × 86,842.98
  4. Step 4: Simplify right side
    213,202.98x = 27,766,864,395.76
  5. Step 5: Solve for x
    x = 27,766,864,395.76/213,202.98
  6. Step 6: Final answer
    x = 130,236.76

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1.5x scale

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.