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Finding the Fourth Proportional to 99,413.76, 137,190.98 and 54,701.76

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Solution

The fourth proportional to 99,413.76, 137,190.98 and 54,701.76 is: 75,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,413.76 : 137,190.98 = 54,701.76 : x
  2. Step 2: Convert to fraction form
    99,413.76/137,190.98 = 54,701.76/x
  3. Step 3: Cross multiply
    99,413.76x = 137,190.98 × 54,701.76
  4. Step 4: Simplify right side
    99,413.76x = 7,504,588,062.12
  5. Step 5: Solve for x
    x = 7,504,588,062.12/99,413.76
  6. Step 6: Final answer
    x = 75,488.42

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1.5x scale

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.