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Finding the Fourth Proportional to 43,490.40, 65,138.40 and 35,714.40

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Solution

The fourth proportional to 43,490.40, 65,138.40 and 35,714.40 is: 53,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490.40 : 65,138.40 = 35,714.40 : x
  2. Step 2: Convert to fraction form
    43,490.40/65,138.40 = 35,714.40/x
  3. Step 3: Cross multiply
    43,490.40x = 65,138.40 × 35,714.40
  4. Step 4: Simplify right side
    43,490.40x = 2,326,378,872.96
  5. Step 5: Solve for x
    x = 2,326,378,872.96/43,490.40
  6. Step 6: Final answer
    x = 53,491.78

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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.