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Finding the Fourth Proportional to 51,478.38, 71,040.69 and 30,258

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Solution

The fourth proportional to 51,478.38, 71,040.69 and 30,258 is: 41,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.38 : 71,040.69 = 30,258 : x
  2. Step 2: Convert to fraction form
    51,478.38/71,040.69 = 30,258/x
  3. Step 3: Cross multiply
    51,478.38x = 71,040.69 × 30,258
  4. Step 4: Simplify right side
    51,478.38x = 2,149,549,198.02
  5. Step 5: Solve for x
    x = 2,149,549,198.02/51,478.38
  6. Step 6: Final answer
    x = 41,756.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.