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Finding the Fourth Proportional to 71,408.81, 107,177.46 and 38,157.30

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Solution

The fourth proportional to 71,408.81, 107,177.46 and 38,157.30 is: 57,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408.81 : 107,177.46 = 38,157.30 : x
  2. Step 2: Convert to fraction form
    71,408.81/107,177.46 = 38,157.30/x
  3. Step 3: Cross multiply
    71,408.81x = 107,177.46 × 38,157.30
  4. Step 4: Simplify right side
    71,408.81x = 4,089,602,494.46
  5. Step 5: Solve for x
    x = 4,089,602,494.46/71,408.81
  6. Step 6: Final answer
    x = 57,270.28

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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.