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Finding the Fourth Proportional to 38,138, 57,140.28 and 26,458.64

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Solution

The fourth proportional to 38,138, 57,140.28 and 26,458.64 is: 39,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 57,140.28 = 26,458.64 : x
  2. Step 2: Convert to fraction form
    38,138/57,140.28 = 26,458.64/x
  3. Step 3: Cross multiply
    38,138x = 57,140.28 × 26,458.64
  4. Step 4: Simplify right side
    38,138x = 1,511,854,098.02
  5. Step 5: Solve for x
    x = 1,511,854,098.02/38,138
  6. Step 6: Final answer
    x = 39,641.67

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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.