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Finding the Fourth Proportional to 100,413.95, 138,575.16 and 55,093.82

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Solution

The fourth proportional to 100,413.95, 138,575.16 and 55,093.82 is: 76,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413.95 : 138,575.16 = 55,093.82 : x
  2. Step 2: Convert to fraction form
    100,413.95/138,575.16 = 55,093.82/x
  3. Step 3: Cross multiply
    100,413.95x = 138,575.16 × 55,093.82
  4. Step 4: Simplify right side
    100,413.95x = 7,634,634,228.64
  5. Step 5: Solve for x
    x = 7,634,634,228.64/100,413.95
  6. Step 6: Final answer
    x = 76,031.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.