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Finding the Fourth Proportional to 82,905.75, 114,410.75 and 45,180.81

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Solution

The fourth proportional to 82,905.75, 114,410.75 and 45,180.81 is: 62,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905.75 : 114,410.75 = 45,180.81 : x
  2. Step 2: Convert to fraction form
    82,905.75/114,410.75 = 45,180.81/x
  3. Step 3: Cross multiply
    82,905.75x = 114,410.75 × 45,180.81
  4. Step 4: Simplify right side
    82,905.75x = 5,169,170,131.80
  5. Step 5: Solve for x
    x = 5,169,170,131.80/82,905.75
  6. Step 6: Final answer
    x = 62,349.96

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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.