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Finding the Fourth Proportional to 84,413.76, 116,413.92 and 72,473.28

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Solution

The fourth proportional to 84,413.76, 116,413.92 and 72,473.28 is: 99,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413.76 : 116,413.92 = 72,473.28 : x
  2. Step 2: Convert to fraction form
    84,413.76/116,413.92 = 72,473.28/x
  3. Step 3: Cross multiply
    84,413.76x = 116,413.92 × 72,473.28
  4. Step 4: Simplify right side
    84,413.76x = 8,436,898,620.06
  5. Step 5: Solve for x
    x = 8,436,898,620.06/84,413.76
  6. Step 6: Final answer
    x = 99,946.96

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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.