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Finding the Fourth Proportional to 200,911.92, 301,413.91 and 87,078.84

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Solution

The fourth proportional to 200,911.92, 301,413.91 and 87,078.84 is: 130,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911.92 : 301,413.91 = 87,078.84 : x
  2. Step 2: Convert to fraction form
    200,911.92/301,413.91 = 87,078.84/x
  3. Step 3: Cross multiply
    200,911.92x = 301,413.91 × 87,078.84
  4. Step 4: Simplify right side
    200,911.92x = 26,246,773,642.66
  5. Step 5: Solve for x
    x = 26,246,773,642.66/200,911.92
  6. Step 6: Final answer
    x = 130,638.21

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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.