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Finding the Fourth Proportional to 189,413.82, 261,382.82 and 103,370.63

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Solution

The fourth proportional to 189,413.82, 261,382.82 and 103,370.63 is: 142,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,413.82 : 261,382.82 = 103,370.63 : x
  2. Step 2: Convert to fraction form
    189,413.82/261,382.82 = 103,370.63/x
  3. Step 3: Cross multiply
    189,413.82x = 261,382.82 × 103,370.63
  4. Step 4: Simplify right side
    189,413.82x = 27,019,304,950.81
  5. Step 5: Solve for x
    x = 27,019,304,950.81/189,413.82
  6. Step 6: Final answer
    x = 142,646.96

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1.5x scale

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.