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Finding the Fourth Proportional to 70,286.72, 105,259.44 and 38,648.48

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Solution

The fourth proportional to 70,286.72, 105,259.44 and 38,648.48 is: 57,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.72 : 105,259.44 = 38,648.48 : x
  2. Step 2: Convert to fraction form
    70,286.72/105,259.44 = 38,648.48/x
  3. Step 3: Cross multiply
    70,286.72x = 105,259.44 × 38,648.48
  4. Step 4: Simplify right side
    70,286.72x = 4,068,117,361.65
  5. Step 5: Solve for x
    x = 4,068,117,361.65/70,286.72
  6. Step 6: Final answer
    x = 57,878.89

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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.