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Finding the Fourth Proportional to 70,703.72, 105,912.36 and 32,699

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Solution

The fourth proportional to 70,703.72, 105,912.36 and 32,699 is: 48,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,703.72 : 105,912.36 = 32,699 : x
  2. Step 2: Convert to fraction form
    70,703.72/105,912.36 = 32,699/x
  3. Step 3: Cross multiply
    70,703.72x = 105,912.36 × 32,699
  4. Step 4: Simplify right side
    70,703.72x = 3,463,228,259.64
  5. Step 5: Solve for x
    x = 3,463,228,259.64/70,703.72
  6. Step 6: Final answer
    x = 48,982.26

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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.