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Finding the Fourth Proportional to 68,362.08, 102,509.34 and 20,965.80

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Solution

The fourth proportional to 68,362.08, 102,509.34 and 20,965.80 is: 31,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,362.08 : 102,509.34 = 20,965.80 : x
  2. Step 2: Convert to fraction form
    68,362.08/102,509.34 = 20,965.80/x
  3. Step 3: Cross multiply
    68,362.08x = 102,509.34 × 20,965.80
  4. Step 4: Simplify right side
    68,362.08x = 2,149,190,626.36
  5. Step 5: Solve for x
    x = 2,149,190,626.36/68,362.08
  6. Step 6: Final answer
    x = 31,438.35

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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.