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Finding the Fourth Proportional to 65,478.13, 90,413.13 and 53,380.51

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Solution

The fourth proportional to 65,478.13, 90,413.13 and 53,380.51 is: 73,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.13 : 90,413.13 = 53,380.51 : x
  2. Step 2: Convert to fraction form
    65,478.13/90,413.13 = 53,380.51/x
  3. Step 3: Cross multiply
    65,478.13x = 90,413.13 × 53,380.51
  4. Step 4: Simplify right side
    65,478.13x = 4,826,298,990.10
  5. Step 5: Solve for x
    x = 4,826,298,990.10/65,478.13
  6. Step 6: Final answer
    x = 73,708.56

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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.