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Finding the Fourth Proportional to 90,081, 135,413.10 and 83,588.04

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Solution

The fourth proportional to 90,081, 135,413.10 and 83,588.04 is: 125,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,081 : 135,413.10 = 83,588.04 : x
  2. Step 2: Convert to fraction form
    90,081/135,413.10 = 83,588.04/x
  3. Step 3: Cross multiply
    90,081x = 135,413.10 × 83,588.04
  4. Step 4: Simplify right side
    90,081x = 11,318,915,619.32
  5. Step 5: Solve for x
    x = 11,318,915,619.32/90,081
  6. Step 6: Final answer
    x = 125,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.