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Finding the Fourth Proportional to 194,149.10, 291,223.65 and 115,222.70

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Solution

The fourth proportional to 194,149.10, 291,223.65 and 115,222.70 is: 172,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.10 : 291,223.65 = 115,222.70 : x
  2. Step 2: Convert to fraction form
    194,149.10/291,223.65 = 115,222.70/x
  3. Step 3: Cross multiply
    194,149.10x = 291,223.65 × 115,222.70
  4. Step 4: Simplify right side
    194,149.10x = 33,555,575,256.86
  5. Step 5: Solve for x
    x = 33,555,575,256.86/194,149.10
  6. Step 6: Final answer
    x = 172,834.05

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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.