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Finding the Fourth Proportional to 83,413.01, 115,110.02 and 45,172.62

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Solution

The fourth proportional to 83,413.01, 115,110.02 and 45,172.62 is: 62,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413.01 : 115,110.02 = 45,172.62 : x
  2. Step 2: Convert to fraction form
    83,413.01/115,110.02 = 45,172.62/x
  3. Step 3: Cross multiply
    83,413.01x = 115,110.02 × 45,172.62
  4. Step 4: Simplify right side
    83,413.01x = 5,199,821,304.58
  5. Step 5: Solve for x
    x = 5,199,821,304.58/83,413.01
  6. Step 6: Final answer
    x = 62,338.25

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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.