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Finding the Fourth Proportional to 70,413.90, 97,170.53 and 38,147.78

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Solution

The fourth proportional to 70,413.90, 97,170.53 and 38,147.78 is: 52,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.90 : 97,170.53 = 38,147.78 : x
  2. Step 2: Convert to fraction form
    70,413.90/97,170.53 = 38,147.78/x
  3. Step 3: Cross multiply
    70,413.90x = 97,170.53 × 38,147.78
  4. Step 4: Simplify right side
    70,413.90x = 3,706,839,324.33
  5. Step 5: Solve for x
    x = 3,706,839,324.33/70,413.90
  6. Step 6: Final answer
    x = 52,643.57

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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.