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Finding the Fourth Proportional to 64,647.35, 96,957 and 20,268.26

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Solution

The fourth proportional to 64,647.35, 96,957 and 20,268.26 is: 30,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647.35 : 96,957 = 20,268.26 : x
  2. Step 2: Convert to fraction form
    64,647.35/96,957 = 20,268.26/x
  3. Step 3: Cross multiply
    64,647.35x = 96,957 × 20,268.26
  4. Step 4: Simplify right side
    64,647.35x = 1,965,149,563.62
  5. Step 5: Solve for x
    x = 1,965,149,563.62/64,647.35
  6. Step 6: Final answer
    x = 30,397.99

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1.5x scale

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.