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Finding the Fourth Proportional to 200,124.60, 300,257.22 and 125,159.64

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Solution

The fourth proportional to 200,124.60, 300,257.22 and 125,159.64 is: 187,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124.60 : 300,257.22 = 125,159.64 : x
  2. Step 2: Convert to fraction form
    200,124.60/300,257.22 = 125,159.64/x
  3. Step 3: Cross multiply
    200,124.60x = 300,257.22 × 125,159.64
  4. Step 4: Simplify right side
    200,124.60x = 37,580,085,562.60
  5. Step 5: Solve for x
    x = 37,580,085,562.60/200,124.60
  6. Step 6: Final answer
    x = 187,783.44

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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.