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Finding the Fourth Proportional to 103,165.69, 154,738.16 and 28,293.36

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Solution

The fourth proportional to 103,165.69, 154,738.16 and 28,293.36 is: 42,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.69 : 154,738.16 = 28,293.36 : x
  2. Step 2: Convert to fraction form
    103,165.69/154,738.16 = 28,293.36/x
  3. Step 3: Cross multiply
    103,165.69x = 154,738.16 × 28,293.36
  4. Step 4: Simplify right side
    103,165.69x = 4,378,062,880.54
  5. Step 5: Solve for x
    x = 4,378,062,880.54/103,165.69
  6. Step 6: Final answer
    x = 42,437.20

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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.