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Finding the Fourth Proportional to 78,556.84, 117,741.62 and 54,735.41

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Solution

The fourth proportional to 78,556.84, 117,741.62 and 54,735.41 is: 82,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.84 : 117,741.62 = 54,735.41 : x
  2. Step 2: Convert to fraction form
    78,556.84/117,741.62 = 54,735.41/x
  3. Step 3: Cross multiply
    78,556.84x = 117,741.62 × 54,735.41
  4. Step 4: Simplify right side
    78,556.84x = 6,444,636,275.96
  5. Step 5: Solve for x
    x = 6,444,636,275.96/78,556.84
  6. Step 6: Final answer
    x = 82,037.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.