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Finding the Fourth Proportional to 194,449.50, 291,664.50 and 76,142.52

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Solution

The fourth proportional to 194,449.50, 291,664.50 and 76,142.52 is: 114,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,449.50 : 291,664.50 = 76,142.52 : x
  2. Step 2: Convert to fraction form
    194,449.50/291,664.50 = 76,142.52/x
  3. Step 3: Cross multiply
    194,449.50x = 291,664.50 × 76,142.52
  4. Step 4: Simplify right side
    194,449.50x = 22,208,070,024.54
  5. Step 5: Solve for x
    x = 22,208,070,024.54/194,449.50
  6. Step 6: Final answer
    x = 114,209.96

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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.