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Finding the Fourth Proportional to 102,213.28, 153,302.64 and 28,324

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Solution

The fourth proportional to 102,213.28, 153,302.64 and 28,324 is: 42,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.28 : 153,302.64 = 28,324 : x
  2. Step 2: Convert to fraction form
    102,213.28/153,302.64 = 28,324/x
  3. Step 3: Cross multiply
    102,213.28x = 153,302.64 × 28,324
  4. Step 4: Simplify right side
    102,213.28x = 4,342,143,975.36
  5. Step 5: Solve for x
    x = 4,342,143,975.36/102,213.28
  6. Step 6: Final answer
    x = 42,481.21

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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.