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Finding the Fourth Proportional to 194,611.30, 291,686.55 and 82,291.30

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Solution

The fourth proportional to 194,611.30, 291,686.55 and 82,291.30 is: 123,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611.30 : 291,686.55 = 82,291.30 : x
  2. Step 2: Convert to fraction form
    194,611.30/291,686.55 = 82,291.30/x
  3. Step 3: Cross multiply
    194,611.30x = 291,686.55 × 82,291.30
  4. Step 4: Simplify right side
    194,611.30x = 24,003,265,392.02
  5. Step 5: Solve for x
    x = 24,003,265,392.02/194,611.30
  6. Step 6: Final answer
    x = 123,339.53

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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.