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Finding the Fourth Proportional to 102,414.40, 153,621.44 and 28,542.40

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Solution

The fourth proportional to 102,414.40, 153,621.44 and 28,542.40 is: 42,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.40 : 153,621.44 = 28,542.40 : x
  2. Step 2: Convert to fraction form
    102,414.40/153,621.44 = 28,542.40/x
  3. Step 3: Cross multiply
    102,414.40x = 153,621.44 × 28,542.40
  4. Step 4: Simplify right side
    102,414.40x = 4,384,724,589.06
  5. Step 5: Solve for x
    x = 4,384,724,589.06/102,414.40
  6. Step 6: Final answer
    x = 42,813.56

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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.