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Finding the Fourth Proportional to 129,915.92, 194,942.24 and 92,208.80

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Solution

The fourth proportional to 129,915.92, 194,942.24 and 92,208.80 is: 138,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,915.92 : 194,942.24 = 92,208.80 : x
  2. Step 2: Convert to fraction form
    129,915.92/194,942.24 = 92,208.80/x
  3. Step 3: Cross multiply
    129,915.92x = 194,942.24 × 92,208.80
  4. Step 4: Simplify right side
    129,915.92x = 17,975,390,019.71
  5. Step 5: Solve for x
    x = 17,975,390,019.71/129,915.92
  6. Step 6: Final answer
    x = 138,361.72

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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.