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Finding the Fourth Proportional to 194,611.40, 291,686.70 and 145,305.80

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Solution

The fourth proportional to 194,611.40, 291,686.70 and 145,305.80 is: 217,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611.40 : 291,686.70 = 145,305.80 : x
  2. Step 2: Convert to fraction form
    194,611.40/291,686.70 = 145,305.80/x
  3. Step 3: Cross multiply
    194,611.40x = 291,686.70 × 145,305.80
  4. Step 4: Simplify right side
    194,611.40x = 42,383,769,292.86
  5. Step 5: Solve for x
    x = 42,383,769,292.86/194,611.40
  6. Step 6: Final answer
    x = 217,786.67

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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.