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Finding the Fourth Proportional to 136,216, 204,324 and 37,720

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Solution

The fourth proportional to 136,216, 204,324 and 37,720 is: 56,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,216 : 204,324 = 37,720 : x
  2. Step 2: Convert to fraction form
    136,216/204,324 = 37,720/x
  3. Step 3: Cross multiply
    136,216x = 204,324 × 37,720
  4. Step 4: Simplify right side
    136,216x = 7,707,101,280
  5. Step 5: Solve for x
    x = 7,707,101,280/136,216
  6. Step 6: Final answer
    x = 56,580

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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.