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Finding the Fourth Proportional to 36,491.80, 54,739.32 and 14,303.20

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Solution

The fourth proportional to 36,491.80, 54,739.32 and 14,303.20 is: 21,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491.80 : 54,739.32 = 14,303.20 : x
  2. Step 2: Convert to fraction form
    36,491.80/54,739.32 = 14,303.20/x
  3. Step 3: Cross multiply
    36,491.80x = 54,739.32 × 14,303.20
  4. Step 4: Simplify right side
    36,491.80x = 782,947,441.82
  5. Step 5: Solve for x
    x = 782,947,441.82/36,491.80
  6. Step 6: Final answer
    x = 21,455.43

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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.