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Finding the Fourth Proportional to 200,725.80, 301,088.70 and 126,076.20

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Solution

The fourth proportional to 200,725.80, 301,088.70 and 126,076.20 is: 189,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.80 : 301,088.70 = 126,076.20 : x
  2. Step 2: Convert to fraction form
    200,725.80/301,088.70 = 126,076.20/x
  3. Step 3: Cross multiply
    200,725.80x = 301,088.70 × 126,076.20
  4. Step 4: Simplify right side
    200,725.80x = 37,960,119,158.94
  5. Step 5: Solve for x
    x = 37,960,119,158.94/200,725.80
  6. Step 6: Final answer
    x = 189,114.30

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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.