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Finding the Fourth Proportional to 69,128.64, 103,697.28 and 22,386.24

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Solution

The fourth proportional to 69,128.64, 103,697.28 and 22,386.24 is: 33,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,128.64 : 103,697.28 = 22,386.24 : x
  2. Step 2: Convert to fraction form
    69,128.64/103,697.28 = 22,386.24/x
  3. Step 3: Cross multiply
    69,128.64x = 103,697.28 × 22,386.24
  4. Step 4: Simplify right side
    69,128.64x = 2,321,392,197.43
  5. Step 5: Solve for x
    x = 2,321,392,197.43/69,128.64
  6. Step 6: Final answer
    x = 33,580.76

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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.