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Finding the Fourth Proportional to 194,069.70, 291,104.55 and 115,143.30

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Solution

The fourth proportional to 194,069.70, 291,104.55 and 115,143.30 is: 172,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,069.70 : 291,104.55 = 115,143.30 : x
  2. Step 2: Convert to fraction form
    194,069.70/291,104.55 = 115,143.30/x
  3. Step 3: Cross multiply
    194,069.70x = 291,104.55 × 115,143.30
  4. Step 4: Simplify right side
    194,069.70x = 33,518,738,532.02
  5. Step 5: Solve for x
    x = 33,518,738,532.02/194,069.70
  6. Step 6: Final answer
    x = 172,714.95

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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.