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Finding the Fourth Proportional to 194,611.60, 291,990.30 and 76,367.80

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Solution

The fourth proportional to 194,611.60, 291,990.30 and 76,367.80 is: 114,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611.60 : 291,990.30 = 76,367.80 : x
  2. Step 2: Convert to fraction form
    194,611.60/291,990.30 = 76,367.80/x
  3. Step 3: Cross multiply
    194,611.60x = 291,990.30 × 76,367.80
  4. Step 4: Simplify right side
    194,611.60x = 22,298,656,832.34
  5. Step 5: Solve for x
    x = 22,298,656,832.34/194,611.60
  6. Step 6: Final answer
    x = 114,580.31

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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.