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Finding the Fourth Proportional to 48,370.31, 72,583.48 and 20,287.86

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Solution

The fourth proportional to 48,370.31, 72,583.48 and 20,287.86 is: 30,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370.31 : 72,583.48 = 20,287.86 : x
  2. Step 2: Convert to fraction form
    48,370.31/72,583.48 = 20,287.86/x
  3. Step 3: Cross multiply
    48,370.31x = 72,583.48 × 20,287.86
  4. Step 4: Simplify right side
    48,370.31x = 1,472,563,429.83
  5. Step 5: Solve for x
    x = 1,472,563,429.83/48,370.31
  6. Step 6: Final answer
    x = 30,443.54

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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.