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Finding the Fourth Proportional to 194,147.10, 291,220.65 and 115,220.70

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Solution

The fourth proportional to 194,147.10, 291,220.65 and 115,220.70 is: 172,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147.10 : 291,220.65 = 115,220.70 : x
  2. Step 2: Convert to fraction form
    194,147.10/291,220.65 = 115,220.70/x
  3. Step 3: Cross multiply
    194,147.10x = 291,220.65 × 115,220.70
  4. Step 4: Simplify right side
    194,147.10x = 33,554,647,147.46
  5. Step 5: Solve for x
    x = 33,554,647,147.46/194,147.10
  6. Step 6: Final answer
    x = 172,831.05

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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.