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Finding the Fourth Proportional to 82,388.34, 113,657.67 and 48,385.80

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Solution

The fourth proportional to 82,388.34, 113,657.67 and 48,385.80 is: 66,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,388.34 : 113,657.67 = 48,385.80 : x
  2. Step 2: Convert to fraction form
    82,388.34/113,657.67 = 48,385.80/x
  3. Step 3: Cross multiply
    82,388.34x = 113,657.67 × 48,385.80
  4. Step 4: Simplify right side
    82,388.34x = 5,499,417,289.09
  5. Step 5: Solve for x
    x = 5,499,417,289.09/82,388.34
  6. Step 6: Final answer
    x = 66,749.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.