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Finding the Fourth Proportional to 200,228.88, 300,427.08 and 87,851.16

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Solution

The fourth proportional to 200,228.88, 300,427.08 and 87,851.16 is: 131,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,228.88 : 300,427.08 = 87,851.16 : x
  2. Step 2: Convert to fraction form
    200,228.88/300,427.08 = 87,851.16/x
  3. Step 3: Cross multiply
    200,228.88x = 300,427.08 × 87,851.16
  4. Step 4: Simplify right side
    200,228.88x = 26,392,867,473.41
  5. Step 5: Solve for x
    x = 26,392,867,473.41/200,228.88
  6. Step 6: Final answer
    x = 131,813.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.