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Finding the Fourth Proportional to 43,782.16, 65,679.72 and 16,078

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Solution

The fourth proportional to 43,782.16, 65,679.72 and 16,078 is: 24,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.16 : 65,679.72 = 16,078 : x
  2. Step 2: Convert to fraction form
    43,782.16/65,679.72 = 16,078/x
  3. Step 3: Cross multiply
    43,782.16x = 65,679.72 × 16,078
  4. Step 4: Simplify right side
    43,782.16x = 1,055,998,538.16
  5. Step 5: Solve for x
    x = 1,055,998,538.16/43,782.16
  6. Step 6: Final answer
    x = 24,119.38

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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.