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Finding the Fourth Proportional to 72,413.31, 108,646.08 and 38,643.96

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Solution

The fourth proportional to 72,413.31, 108,646.08 and 38,643.96 is: 57,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413.31 : 108,646.08 = 38,643.96 : x
  2. Step 2: Convert to fraction form
    72,413.31/108,646.08 = 38,643.96/x
  3. Step 3: Cross multiply
    72,413.31x = 108,646.08 × 38,643.96
  4. Step 4: Simplify right side
    72,413.31x = 4,198,514,769.68
  5. Step 5: Solve for x
    x = 4,198,514,769.68/72,413.31
  6. Step 6: Final answer
    x = 57,979.88

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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.