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Finding the Fourth Proportional to 48,284, 72,432.48 and 20,588.48

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Solution

The fourth proportional to 48,284, 72,432.48 and 20,588.48 is: 30,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284 : 72,432.48 = 20,588.48 : x
  2. Step 2: Convert to fraction form
    48,284/72,432.48 = 20,588.48/x
  3. Step 3: Cross multiply
    48,284x = 72,432.48 × 20,588.48
  4. Step 4: Simplify right side
    48,284x = 1,491,274,665.83
  5. Step 5: Solve for x
    x = 1,491,274,665.83/48,284
  6. Step 6: Final answer
    x = 30,885.48

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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.