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Finding the Fourth Proportional to 85,112.81, 117,430.97 and 54,915.81

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Solution

The fourth proportional to 85,112.81, 117,430.97 and 54,915.81 is: 75,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.81 : 117,430.97 = 54,915.81 : x
  2. Step 2: Convert to fraction form
    85,112.81/117,430.97 = 54,915.81/x
  3. Step 3: Cross multiply
    85,112.81x = 117,430.97 × 54,915.81
  4. Step 4: Simplify right side
    85,112.81x = 6,448,816,121.69
  5. Step 5: Solve for x
    x = 6,448,816,121.69/85,112.81
  6. Step 6: Final answer
    x = 75,767.87

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1.5x scale

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.