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Finding the Fourth Proportional to 100,574, 150,992.84 and 67,442.32

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Solution

The fourth proportional to 100,574, 150,992.84 and 67,442.32 is: 101,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574 : 150,992.84 = 67,442.32 : x
  2. Step 2: Convert to fraction form
    100,574/150,992.84 = 67,442.32/x
  3. Step 3: Cross multiply
    100,574x = 150,992.84 × 67,442.32
  4. Step 4: Simplify right side
    100,574x = 10,183,307,432.99
  5. Step 5: Solve for x
    x = 10,183,307,432.99/100,574
  6. Step 6: Final answer
    x = 101,251.89

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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.