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Finding the Fourth Proportional to 200,365.60, 300,436.08 and 137,257

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Solution

The fourth proportional to 200,365.60, 300,436.08 and 137,257 is: 205,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,365.60 : 300,436.08 = 137,257 : x
  2. Step 2: Convert to fraction form
    200,365.60/300,436.08 = 137,257/x
  3. Step 3: Cross multiply
    200,365.60x = 300,436.08 × 137,257
  4. Step 4: Simplify right side
    200,365.60x = 41,236,955,032.56
  5. Step 5: Solve for x
    x = 41,236,955,032.56/200,365.60
  6. Step 6: Final answer
    x = 205,808.56

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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.