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Finding the Fourth Proportional to 200,422.63, 276,583.34 and 109,780.11

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Solution

The fourth proportional to 200,422.63, 276,583.34 and 109,780.11 is: 151,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.63 : 276,583.34 = 109,780.11 : x
  2. Step 2: Convert to fraction form
    200,422.63/276,583.34 = 109,780.11/x
  3. Step 3: Cross multiply
    200,422.63x = 276,583.34 × 109,780.11
  4. Step 4: Simplify right side
    200,422.63x = 30,363,348,938.50
  5. Step 5: Solve for x
    x = 30,363,348,938.50/200,422.63
  6. Step 6: Final answer
    x = 151,496.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.