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Finding the Fourth Proportional to 78,094.21, 117,141.31 and 18,929.88

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Solution

The fourth proportional to 78,094.21, 117,141.31 and 18,929.88 is: 28,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.21 : 117,141.31 = 18,929.88 : x
  2. Step 2: Convert to fraction form
    78,094.21/117,141.31 = 18,929.88/x
  3. Step 3: Cross multiply
    78,094.21x = 117,141.31 × 18,929.88
  4. Step 4: Simplify right side
    78,094.21x = 2,217,470,846.69
  5. Step 5: Solve for x
    x = 2,217,470,846.69/78,094.21
  6. Step 6: Final answer
    x = 28,394.82

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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.