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Finding the Fourth Proportional to 135,413.14, 186,870.02 and 74,983.79

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Solution

The fourth proportional to 135,413.14, 186,870.02 and 74,983.79 is: 103,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,413.14 : 186,870.02 = 74,983.79 : x
  2. Step 2: Convert to fraction form
    135,413.14/186,870.02 = 74,983.79/x
  3. Step 3: Cross multiply
    135,413.14x = 186,870.02 × 74,983.79
  4. Step 4: Simplify right side
    135,413.14x = 14,012,222,336.98
  5. Step 5: Solve for x
    x = 14,012,222,336.98/135,413.14
  6. Step 6: Final answer
    x = 103,477.57

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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.