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Finding the Fourth Proportional to 129,572.12, 194,274.90 and 54,671.78

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Solution

The fourth proportional to 129,572.12, 194,274.90 and 54,671.78 is: 81,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,572.12 : 194,274.90 = 54,671.78 : x
  2. Step 2: Convert to fraction form
    129,572.12/194,274.90 = 54,671.78/x
  3. Step 3: Cross multiply
    129,572.12x = 194,274.90 × 54,671.78
  4. Step 4: Simplify right side
    129,572.12x = 10,621,354,592.32
  5. Step 5: Solve for x
    x = 10,621,354,592.32/129,572.12
  6. Step 6: Final answer
    x = 81,972.53

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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.