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Finding the Fourth Proportional to 57,704.36, 86,328.84 and 43,704.84

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Solution

The fourth proportional to 57,704.36, 86,328.84 and 43,704.84 is: 65,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.36 : 86,328.84 = 43,704.84 : x
  2. Step 2: Convert to fraction form
    57,704.36/86,328.84 = 43,704.84/x
  3. Step 3: Cross multiply
    57,704.36x = 86,328.84 × 43,704.84
  4. Step 4: Simplify right side
    57,704.36x = 3,772,988,139.59
  5. Step 5: Solve for x
    x = 3,772,988,139.59/57,704.36
  6. Step 6: Final answer
    x = 65,384.80

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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.