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Finding the Fourth Proportional to 43,641, 65,464.20 and 12,478.68

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Solution

The fourth proportional to 43,641, 65,464.20 and 12,478.68 is: 18,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641 : 65,464.20 = 12,478.68 : x
  2. Step 2: Convert to fraction form
    43,641/65,464.20 = 12,478.68/x
  3. Step 3: Cross multiply
    43,641x = 65,464.20 × 12,478.68
  4. Step 4: Simplify right side
    43,641x = 816,906,803.26
  5. Step 5: Solve for x
    x = 816,906,803.26/43,641
  6. Step 6: Final answer
    x = 18,718.79

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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.