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Finding the Fourth Proportional to 43,643, 65,467.20 and 12,480.68

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Solution

The fourth proportional to 43,643, 65,467.20 and 12,480.68 is: 18,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,643 : 65,467.20 = 12,480.68 : x
  2. Step 2: Convert to fraction form
    43,643/65,467.20 = 12,480.68/x
  3. Step 3: Cross multiply
    43,643x = 65,467.20 × 12,480.68
  4. Step 4: Simplify right side
    43,643x = 817,075,173.70
  5. Step 5: Solve for x
    x = 817,075,173.70/43,643
  6. Step 6: Final answer
    x = 18,721.79

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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.