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Finding the Fourth Proportional to 46,459.20, 69,695.20 and 20,163.20

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Solution

The fourth proportional to 46,459.20, 69,695.20 and 20,163.20 is: 30,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.20 : 69,695.20 = 20,163.20 : x
  2. Step 2: Convert to fraction form
    46,459.20/69,695.20 = 20,163.20/x
  3. Step 3: Cross multiply
    46,459.20x = 69,695.20 × 20,163.20
  4. Step 4: Simplify right side
    46,459.20x = 1,405,278,256.64
  5. Step 5: Solve for x
    x = 1,405,278,256.64/46,459.20
  6. Step 6: Final answer
    x = 30,247.58

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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.