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Finding the Fourth Proportional to 101,578.32, 152,388.95 and 30,498.39

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Solution

The fourth proportional to 101,578.32, 152,388.95 and 30,498.39 is: 45,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578.32 : 152,388.95 = 30,498.39 : x
  2. Step 2: Convert to fraction form
    101,578.32/152,388.95 = 30,498.39/x
  3. Step 3: Cross multiply
    101,578.32x = 152,388.95 × 30,498.39
  4. Step 4: Simplify right side
    101,578.32x = 4,647,617,476.30
  5. Step 5: Solve for x
    x = 4,647,617,476.30/101,578.32
  6. Step 6: Final answer
    x = 45,754.03

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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.