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Finding the Fourth Proportional to 64,800, 97,202.88 and 20,442.24

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Solution

The fourth proportional to 64,800, 97,202.88 and 20,442.24 is: 30,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,800 : 97,202.88 = 20,442.24 : x
  2. Step 2: Convert to fraction form
    64,800/97,202.88 = 20,442.24/x
  3. Step 3: Cross multiply
    64,800x = 97,202.88 × 20,442.24
  4. Step 4: Simplify right side
    64,800x = 1,987,044,601.65
  5. Step 5: Solve for x
    x = 1,987,044,601.65/64,800
  6. Step 6: Final answer
    x = 30,664.27

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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.