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Finding the Fourth Proportional to 53,195.32, 73,413.30 and 30,538

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Solution

The fourth proportional to 53,195.32, 73,413.30 and 30,538 is: 42,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195.32 : 73,413.30 = 30,538 : x
  2. Step 2: Convert to fraction form
    53,195.32/73,413.30 = 30,538/x
  3. Step 3: Cross multiply
    53,195.32x = 73,413.30 × 30,538
  4. Step 4: Simplify right side
    53,195.32x = 2,241,895,355.40
  5. Step 5: Solve for x
    x = 2,241,895,355.40/53,195.32
  6. Step 6: Final answer
    x = 42,144.60

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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.