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Finding the Fourth Proportional to 43,638, 65,460.17 and 14,077.05

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Solution

The fourth proportional to 43,638, 65,460.17 and 14,077.05 is: 21,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 65,460.17 = 14,077.05 : x
  2. Step 2: Convert to fraction form
    43,638/65,460.17 = 14,077.05/x
  3. Step 3: Cross multiply
    43,638x = 65,460.17 × 14,077.05
  4. Step 4: Simplify right side
    43,638x = 921,486,086.10
  5. Step 5: Solve for x
    x = 921,486,086.10/43,638
  6. Step 6: Final answer
    x = 21,116.60

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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.