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Finding the Fourth Proportional to 38,138, 57,152.48 and 16,765.12

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Solution

The fourth proportional to 38,138, 57,152.48 and 16,765.12 is: 25,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 57,152.48 = 16,765.12 : x
  2. Step 2: Convert to fraction form
    38,138/57,152.48 = 16,765.12/x
  3. Step 3: Cross multiply
    38,138x = 57,152.48 × 16,765.12
  4. Step 4: Simplify right side
    38,138x = 958,168,185.50
  5. Step 5: Solve for x
    x = 958,168,185.50/38,138
  6. Step 6: Final answer
    x = 25,123.71

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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.