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Finding the Fourth Proportional to 43,657.74, 65,431.80 and 18,668.40

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Solution

The fourth proportional to 43,657.74, 65,431.80 and 18,668.40 is: 27,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657.74 : 65,431.80 = 18,668.40 : x
  2. Step 2: Convert to fraction form
    43,657.74/65,431.80 = 18,668.40/x
  3. Step 3: Cross multiply
    43,657.74x = 65,431.80 × 18,668.40
  4. Step 4: Simplify right side
    43,657.74x = 1,221,507,015.12
  5. Step 5: Solve for x
    x = 1,221,507,015.12/43,657.74
  6. Step 6: Final answer
    x = 27,979.16

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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.