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Finding the Fourth Proportional to 78,676.32, 118,031.76 and 23,268

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Solution

The fourth proportional to 78,676.32, 118,031.76 and 23,268 is: 34,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.32 : 118,031.76 = 23,268 : x
  2. Step 2: Convert to fraction form
    78,676.32/118,031.76 = 23,268/x
  3. Step 3: Cross multiply
    78,676.32x = 118,031.76 × 23,268
  4. Step 4: Simplify right side
    78,676.32x = 2,746,362,991.68
  5. Step 5: Solve for x
    x = 2,746,362,991.68/78,676.32
  6. Step 6: Final answer
    x = 34,907.11

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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.