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Finding the Fourth Proportional to 136,221, 204,331.50 and 37,725

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Solution

The fourth proportional to 136,221, 204,331.50 and 37,725 is: 56,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,221 : 204,331.50 = 37,725 : x
  2. Step 2: Convert to fraction form
    136,221/204,331.50 = 37,725/x
  3. Step 3: Cross multiply
    136,221x = 204,331.50 × 37,725
  4. Step 4: Simplify right side
    136,221x = 7,708,405,837.50
  5. Step 5: Solve for x
    x = 7,708,405,837.50/136,221
  6. Step 6: Final answer
    x = 56,587.50

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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.