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Finding the Fourth Proportional to 204,959.25, 307,597.64 and 142,219.89

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Solution

The fourth proportional to 204,959.25, 307,597.64 and 142,219.89 is: 213,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,959.25 : 307,597.64 = 142,219.89 : x
  2. Step 2: Convert to fraction form
    204,959.25/307,597.64 = 142,219.89/x
  3. Step 3: Cross multiply
    204,959.25x = 307,597.64 × 142,219.89
  4. Step 4: Simplify right side
    204,959.25x = 43,746,501,813.96
  5. Step 5: Solve for x
    x = 43,746,501,813.96/204,959.25
  6. Step 6: Final answer
    x = 213,440.00

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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.