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Finding the Fourth Proportional to 81,623.64, 112,639.50 and 45,813

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Solution

The fourth proportional to 81,623.64, 112,639.50 and 45,813 is: 63,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,623.64 : 112,639.50 = 45,813 : x
  2. Step 2: Convert to fraction form
    81,623.64/112,639.50 = 45,813/x
  3. Step 3: Cross multiply
    81,623.64x = 112,639.50 × 45,813
  4. Step 4: Simplify right side
    81,623.64x = 5,160,353,413.50
  5. Step 5: Solve for x
    x = 5,160,353,413.50/81,623.64
  6. Step 6: Final answer
    x = 63,221.31

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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.