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Finding the Fourth Proportional to 110,413.84, 165,379.38 and 85,388.08

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Solution

The fourth proportional to 110,413.84, 165,379.38 and 85,388.08 is: 127,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.84 : 165,379.38 = 85,388.08 : x
  2. Step 2: Convert to fraction form
    110,413.84/165,379.38 = 85,388.08/x
  3. Step 3: Cross multiply
    110,413.84x = 165,379.38 × 85,388.08
  4. Step 4: Simplify right side
    110,413.84x = 14,121,427,729.79
  5. Step 5: Solve for x
    x = 14,121,427,729.79/110,413.84
  6. Step 6: Final answer
    x = 127,895.45

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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.