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Finding the Fourth Proportional to 200,188.89, 276,487.43 and 136,415.97

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Solution

The fourth proportional to 200,188.89, 276,487.43 and 136,415.97 is: 188,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,188.89 : 276,487.43 = 136,415.97 : x
  2. Step 2: Convert to fraction form
    200,188.89/276,487.43 = 136,415.97/x
  3. Step 3: Cross multiply
    200,188.89x = 276,487.43 × 136,415.97
  4. Step 4: Simplify right side
    200,188.89x = 37,717,300,274.18
  5. Step 5: Solve for x
    x = 37,717,300,274.18/200,188.89
  6. Step 6: Final answer
    x = 188,408.56

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1.5x scale

Why These Related Problems?

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