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Finding the Fourth Proportional to 100,301.28, 138,413.88 and 54,978

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Solution

The fourth proportional to 100,301.28, 138,413.88 and 54,978 is: 75,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.28 : 138,413.88 = 54,978 : x
  2. Step 2: Convert to fraction form
    100,301.28/138,413.88 = 54,978/x
  3. Step 3: Cross multiply
    100,301.28x = 138,413.88 × 54,978
  4. Step 4: Simplify right side
    100,301.28x = 7,609,718,294.64
  5. Step 5: Solve for x
    x = 7,609,718,294.64/100,301.28
  6. Step 6: Final answer
    x = 75,868.61

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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.