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Finding the Fourth Proportional to 129,843.63, 194,790.69 and 49,875.75

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Solution

The fourth proportional to 129,843.63, 194,790.69 and 49,875.75 is: 74,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,843.63 : 194,790.69 = 49,875.75 : x
  2. Step 2: Convert to fraction form
    129,843.63/194,790.69 = 49,875.75/x
  3. Step 3: Cross multiply
    129,843.63x = 194,790.69 × 49,875.75
  4. Step 4: Simplify right side
    129,843.63x = 9,715,331,756.77
  5. Step 5: Solve for x
    x = 9,715,331,756.77/129,843.63
  6. Step 6: Final answer
    x = 74,823.32

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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.