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Finding the Fourth Proportional to 213,236.42, 319,965.32 and 86,969.30

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Solution

The fourth proportional to 213,236.42, 319,965.32 and 86,969.30 is: 130,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,236.42 : 319,965.32 = 86,969.30 : x
  2. Step 2: Convert to fraction form
    213,236.42/319,965.32 = 86,969.30/x
  3. Step 3: Cross multiply
    213,236.42x = 319,965.32 × 86,969.30
  4. Step 4: Simplify right side
    213,236.42x = 27,827,157,870.00
  5. Step 5: Solve for x
    x = 27,827,157,870.00/213,236.42
  6. Step 6: Final answer
    x = 130,499.09

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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.