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Finding the Fourth Proportional to 194,330, 291,495 and 54,092.28

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Solution

The fourth proportional to 194,330, 291,495 and 54,092.28 is: 81,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,330 : 291,495 = 54,092.28 : x
  2. Step 2: Convert to fraction form
    194,330/291,495 = 54,092.28/x
  3. Step 3: Cross multiply
    194,330x = 291,495 × 54,092.28
  4. Step 4: Simplify right side
    194,330x = 15,767,629,158.60
  5. Step 5: Solve for x
    x = 15,767,629,158.60/194,330
  6. Step 6: Final answer
    x = 81,138.42

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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.