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Finding the Fourth Proportional to 69,076.78, 103,615.16 and 45,697.76

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Solution

The fourth proportional to 69,076.78, 103,615.16 and 45,697.76 is: 68,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.78 : 103,615.16 = 45,697.76 : x
  2. Step 2: Convert to fraction form
    69,076.78/103,615.16 = 45,697.76/x
  3. Step 3: Cross multiply
    69,076.78x = 103,615.16 × 45,697.76
  4. Step 4: Simplify right side
    69,076.78x = 4,734,980,714.04
  5. Step 5: Solve for x
    x = 4,734,980,714.04/69,076.78
  6. Step 6: Final answer
    x = 68,546.63

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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.