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Finding the Fourth Proportional to 129,902.81, 194,866.63 and 36,408.29

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Solution

The fourth proportional to 129,902.81, 194,866.63 and 36,408.29 is: 54,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.81 : 194,866.63 = 36,408.29 : x
  2. Step 2: Convert to fraction form
    129,902.81/194,866.63 = 36,408.29/x
  3. Step 3: Cross multiply
    129,902.81x = 194,866.63 × 36,408.29
  4. Step 4: Simplify right side
    129,902.81x = 7,094,759,711.01
  5. Step 5: Solve for x
    x = 7,094,759,711.01/129,902.81
  6. Step 6: Final answer
    x = 54,615.91

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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.