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Finding the Fourth Proportional to 86,065.76, 118,768.37 and 47,824.32

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Solution

The fourth proportional to 86,065.76, 118,768.37 and 47,824.32 is: 65,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.76 : 118,768.37 = 47,824.32 : x
  2. Step 2: Convert to fraction form
    86,065.76/118,768.37 = 47,824.32/x
  3. Step 3: Cross multiply
    86,065.76x = 118,768.37 × 47,824.32
  4. Step 4: Simplify right side
    86,065.76x = 5,680,015,819.36
  5. Step 5: Solve for x
    x = 5,680,015,819.36/86,065.76
  6. Step 6: Final answer
    x = 65,996.23

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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.