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Finding the Fourth Proportional to 200,587.88, 300,881.76 and 82,178.36

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Solution

The fourth proportional to 200,587.88, 300,881.76 and 82,178.36 is: 123,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,587.88 : 300,881.76 = 82,178.36 : x
  2. Step 2: Convert to fraction form
    200,587.88/300,881.76 = 82,178.36/x
  3. Step 3: Cross multiply
    200,587.88x = 300,881.76 × 82,178.36
  4. Step 4: Simplify right side
    200,587.88x = 24,725,969,590.71
  5. Step 5: Solve for x
    x = 24,725,969,590.71/200,587.88
  6. Step 6: Final answer
    x = 123,267.52

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1.5x scale

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.