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Finding the Fourth Proportional to 194,787.80, 292,181.70 and 100,309.40

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Solution

The fourth proportional to 194,787.80, 292,181.70 and 100,309.40 is: 150,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787.80 : 292,181.70 = 100,309.40 : x
  2. Step 2: Convert to fraction form
    194,787.80/292,181.70 = 100,309.40/x
  3. Step 3: Cross multiply
    194,787.80x = 292,181.70 × 100,309.40
  4. Step 4: Simplify right side
    194,787.80x = 29,308,571,017.98
  5. Step 5: Solve for x
    x = 29,308,571,017.98/194,787.80
  6. Step 6: Final answer
    x = 150,464.10

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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.