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Finding the Fourth Proportional to 46,296, 69,440.16 and 20,000.64

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Solution

The fourth proportional to 46,296, 69,440.16 and 20,000.64 is: 29,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,296 : 69,440.16 = 20,000.64 : x
  2. Step 2: Convert to fraction form
    46,296/69,440.16 = 20,000.64/x
  3. Step 3: Cross multiply
    46,296x = 69,440.16 × 20,000.64
  4. Step 4: Simplify right side
    46,296x = 1,388,847,641.70
  5. Step 5: Solve for x
    x = 1,388,847,641.70/46,296
  6. Step 6: Final answer
    x = 29,999.30

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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.