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Finding the Fourth Proportional to 129,380.63, 194,070.94 and 35,886.38

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Solution

The fourth proportional to 129,380.63, 194,070.94 and 35,886.38 is: 53,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,380.63 : 194,070.94 = 35,886.38 : x
  2. Step 2: Convert to fraction form
    129,380.63/194,070.94 = 35,886.38/x
  3. Step 3: Cross multiply
    129,380.63x = 194,070.94 × 35,886.38
  4. Step 4: Simplify right side
    129,380.63x = 6,964,502,439.73
  5. Step 5: Solve for x
    x = 6,964,502,439.73/129,380.63
  6. Step 6: Final answer
    x = 53,829.56

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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.