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Finding the Fourth Proportional to 107,739.70, 161,609.55 and 70,414.90

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Solution

The fourth proportional to 107,739.70, 161,609.55 and 70,414.90 is: 105,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,739.70 : 161,609.55 = 70,414.90 : x
  2. Step 2: Convert to fraction form
    107,739.70/161,609.55 = 70,414.90/x
  3. Step 3: Cross multiply
    107,739.70x = 161,609.55 × 70,414.90
  4. Step 4: Simplify right side
    107,739.70x = 11,379,720,302.30
  5. Step 5: Solve for x
    x = 11,379,720,302.30/107,739.70
  6. Step 6: Final answer
    x = 105,622.35

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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.