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Finding the Fourth Proportional to 69,506, 104,278.20 and 20,258

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Solution

The fourth proportional to 69,506, 104,278.20 and 20,258 is: 30,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,506 : 104,278.20 = 20,258 : x
  2. Step 2: Convert to fraction form
    69,506/104,278.20 = 20,258/x
  3. Step 3: Cross multiply
    69,506x = 104,278.20 × 20,258
  4. Step 4: Simplify right side
    69,506x = 2,112,467,775.60
  5. Step 5: Solve for x
    x = 2,112,467,775.60/69,506
  6. Step 6: Final answer
    x = 30,392.60

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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.