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Finding the Fourth Proportional to 65,413.52, 98,129.88 and 21,025.64

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Solution

The fourth proportional to 65,413.52, 98,129.88 and 21,025.64 is: 31,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.52 : 98,129.88 = 21,025.64 : x
  2. Step 2: Convert to fraction form
    65,413.52/98,129.88 = 21,025.64/x
  3. Step 3: Cross multiply
    65,413.52x = 98,129.88 × 21,025.64
  4. Step 4: Simplify right side
    65,413.52x = 2,063,243,530.12
  5. Step 5: Solve for x
    x = 2,063,243,530.12/65,413.52
  6. Step 6: Final answer
    x = 31,541.55

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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.