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Finding the Fourth Proportional to 81,756, 112,822.32 and 45,952.08

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Solution

The fourth proportional to 81,756, 112,822.32 and 45,952.08 is: 63,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756 : 112,822.32 = 45,952.08 : x
  2. Step 2: Convert to fraction form
    81,756/112,822.32 = 45,952.08/x
  3. Step 3: Cross multiply
    81,756x = 112,822.32 × 45,952.08
  4. Step 4: Simplify right side
    81,756x = 5,184,420,274.43
  5. Step 5: Solve for x
    x = 5,184,420,274.43/81,756
  6. Step 6: Final answer
    x = 63,413.33

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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.