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Finding the Fourth Proportional to 75,085.38, 103,576.32 and 48,231.86

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Solution

The fourth proportional to 75,085.38, 103,576.32 and 48,231.86 is: 66,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085.38 : 103,576.32 = 48,231.86 : x
  2. Step 2: Convert to fraction form
    75,085.38/103,576.32 = 48,231.86/x
  3. Step 3: Cross multiply
    75,085.38x = 103,576.32 × 48,231.86
  4. Step 4: Simplify right side
    75,085.38x = 4,995,678,047.67
  5. Step 5: Solve for x
    x = 4,995,678,047.67/75,085.38
  6. Step 6: Final answer
    x = 66,533.30

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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.