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Finding the Fourth Proportional to 102,107.28, 153,143.64 and 28,218

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Solution

The fourth proportional to 102,107.28, 153,143.64 and 28,218 is: 42,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.28 : 153,143.64 = 28,218 : x
  2. Step 2: Convert to fraction form
    102,107.28/153,143.64 = 28,218/x
  3. Step 3: Cross multiply
    102,107.28x = 153,143.64 × 28,218
  4. Step 4: Simplify right side
    102,107.28x = 4,321,407,233.52
  5. Step 5: Solve for x
    x = 4,321,407,233.52/102,107.28
  6. Step 6: Final answer
    x = 42,322.22

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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.