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Finding the Fourth Proportional to 57,529.16, 86,235.30 and 43,649

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Solution

The fourth proportional to 57,529.16, 86,235.30 and 43,649 is: 65,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,529.16 : 86,235.30 = 43,649 : x
  2. Step 2: Convert to fraction form
    57,529.16/86,235.30 = 43,649/x
  3. Step 3: Cross multiply
    57,529.16x = 86,235.30 × 43,649
  4. Step 4: Simplify right side
    57,529.16x = 3,764,084,609.70
  5. Step 5: Solve for x
    x = 3,764,084,609.70/57,529.16
  6. Step 6: Final answer
    x = 65,429.16

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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.