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Finding the Fourth Proportional to 57,785.40, 86,678.10 and 35,642.03

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Solution

The fourth proportional to 57,785.40, 86,678.10 and 35,642.03 is: 53,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.40 : 86,678.10 = 35,642.03 : x
  2. Step 2: Convert to fraction form
    57,785.40/86,678.10 = 35,642.03/x
  3. Step 3: Cross multiply
    57,785.40x = 86,678.10 × 35,642.03
  4. Step 4: Simplify right side
    57,785.40x = 3,089,383,007.15
  5. Step 5: Solve for x
    x = 3,089,383,007.15/57,785.40
  6. Step 6: Final answer
    x = 53,463.04

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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.