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Finding the Fourth Proportional to 199,413.40, 299,120.10 and 133,058.20

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Solution

The fourth proportional to 199,413.40, 299,120.10 and 133,058.20 is: 199,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.40 : 299,120.10 = 133,058.20 : x
  2. Step 2: Convert to fraction form
    199,413.40/299,120.10 = 133,058.20/x
  3. Step 3: Cross multiply
    199,413.40x = 299,120.10 × 133,058.20
  4. Step 4: Simplify right side
    199,413.40x = 39,800,382,089.82
  5. Step 5: Solve for x
    x = 39,800,382,089.82/199,413.40
  6. Step 6: Final answer
    x = 199,587.30

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1.5x scale

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.