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Finding the Fourth Proportional to 129,483.32, 194,178 and 45,219.88

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Solution

The fourth proportional to 129,483.32, 194,178 and 45,219.88 is: 67,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,483.32 : 194,178 = 45,219.88 : x
  2. Step 2: Convert to fraction form
    129,483.32/194,178 = 45,219.88/x
  3. Step 3: Cross multiply
    129,483.32x = 194,178 × 45,219.88
  4. Step 4: Simplify right side
    129,483.32x = 8,780,705,858.64
  5. Step 5: Solve for x
    x = 8,780,705,858.64/129,483.32
  6. Step 6: Final answer
    x = 67,813.41

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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.