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Finding the Fourth Proportional to 81,716.96, 112,772.34 and 45,906.20

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Solution

The fourth proportional to 81,716.96, 112,772.34 and 45,906.20 is: 63,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,716.96 : 112,772.34 = 45,906.20 : x
  2. Step 2: Convert to fraction form
    81,716.96/112,772.34 = 45,906.20/x
  3. Step 3: Cross multiply
    81,716.96x = 112,772.34 × 45,906.20
  4. Step 4: Simplify right side
    81,716.96x = 5,176,949,594.51
  5. Step 5: Solve for x
    x = 5,176,949,594.51/81,716.96
  6. Step 6: Final answer
    x = 63,352.20

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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.