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Finding the Fourth Proportional to 43,781.16, 65,678.22 and 16,077

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Solution

The fourth proportional to 43,781.16, 65,678.22 and 16,077 is: 24,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.16 : 65,678.22 = 16,077 : x
  2. Step 2: Convert to fraction form
    43,781.16/65,678.22 = 16,077/x
  3. Step 3: Cross multiply
    43,781.16x = 65,678.22 × 16,077
  4. Step 4: Simplify right side
    43,781.16x = 1,055,908,742.94
  5. Step 5: Solve for x
    x = 1,055,908,742.94/43,781.16
  6. Step 6: Final answer
    x = 24,117.88

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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.