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Finding the Fourth Proportional to 101,413.40, 152,120.10 and 100,830.20

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Solution

The fourth proportional to 101,413.40, 152,120.10 and 100,830.20 is: 151,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.40 : 152,120.10 = 100,830.20 : x
  2. Step 2: Convert to fraction form
    101,413.40/152,120.10 = 100,830.20/x
  3. Step 3: Cross multiply
    101,413.40x = 152,120.10 × 100,830.20
  4. Step 4: Simplify right side
    101,413.40x = 15,338,300,107.02
  5. Step 5: Solve for x
    x = 15,338,300,107.02/101,413.40
  6. Step 6: Final answer
    x = 151,245.30

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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.