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Finding the Fourth Proportional to 195,413.60, 292,893.60 and 90,243.20

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Solution

The fourth proportional to 195,413.60, 292,893.60 and 90,243.20 is: 135,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,413.60 : 292,893.60 = 90,243.20 : x
  2. Step 2: Convert to fraction form
    195,413.60/292,893.60 = 90,243.20/x
  3. Step 3: Cross multiply
    195,413.60x = 292,893.60 × 90,243.20
  4. Step 4: Simplify right side
    195,413.60x = 26,431,655,723.52
  5. Step 5: Solve for x
    x = 26,431,655,723.52/195,413.60
  6. Step 6: Final answer
    x = 135,260.06

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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.