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Finding the Fourth Proportional to 194,809.20, 292,213.80 and 76,419.60

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Solution

The fourth proportional to 194,809.20, 292,213.80 and 76,419.60 is: 114,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809.20 : 292,213.80 = 76,419.60 : x
  2. Step 2: Convert to fraction form
    194,809.20/292,213.80 = 76,419.60/x
  3. Step 3: Cross multiply
    194,809.20x = 292,213.80 × 76,419.60
  4. Step 4: Simplify right side
    194,809.20x = 22,330,861,710.48
  5. Step 5: Solve for x
    x = 22,330,861,710.48/194,809.20
  6. Step 6: Final answer
    x = 114,629.40

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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.