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Finding the Fourth Proportional to 100,198.17, 149,413.09 and 99,298.31

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Solution

The fourth proportional to 100,198.17, 149,413.09 and 99,298.31 is: 148,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198.17 : 149,413.09 = 99,298.31 : x
  2. Step 2: Convert to fraction form
    100,198.17/149,413.09 = 99,298.31/x
  3. Step 3: Cross multiply
    100,198.17x = 149,413.09 × 99,298.31
  4. Step 4: Simplify right side
    100,198.17x = 14,836,467,328.88
  5. Step 5: Solve for x
    x = 14,836,467,328.88/100,198.17
  6. Step 6: Final answer
    x = 148,071.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.