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Finding the Fourth Proportional to 119,128.64, 164,390.16 and 65,413.44

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Solution

The fourth proportional to 119,128.64, 164,390.16 and 65,413.44 is: 90,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,128.64 : 164,390.16 = 65,413.44 : x
  2. Step 2: Convert to fraction form
    119,128.64/164,390.16 = 65,413.44/x
  3. Step 3: Cross multiply
    119,128.64x = 164,390.16 × 65,413.44
  4. Step 4: Simplify right side
    119,128.64x = 10,753,325,867.75
  5. Step 5: Solve for x
    x = 10,753,325,867.75/119,128.64
  6. Step 6: Final answer
    x = 90,266.50

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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.