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Finding the Fourth Proportional to 194,815.80, 292,223.70 and 142,327.80

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Solution

The fourth proportional to 194,815.80, 292,223.70 and 142,327.80 is: 213,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,815.80 : 292,223.70 = 142,327.80 : x
  2. Step 2: Convert to fraction form
    194,815.80/292,223.70 = 142,327.80/x
  3. Step 3: Cross multiply
    194,815.80x = 292,223.70 × 142,327.80
  4. Step 4: Simplify right side
    194,815.80x = 41,591,556,328.86
  5. Step 5: Solve for x
    x = 41,591,556,328.86/194,815.80
  6. Step 6: Final answer
    x = 213,491.70

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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.