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Finding the Fourth Proportional to 129,709.58, 194,529.52 and 49,730.18

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Solution

The fourth proportional to 129,709.58, 194,529.52 and 49,730.18 is: 74,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,709.58 : 194,529.52 = 49,730.18 : x
  2. Step 2: Convert to fraction form
    129,709.58/194,529.52 = 49,730.18/x
  3. Step 3: Cross multiply
    129,709.58x = 194,529.52 × 49,730.18
  4. Step 4: Simplify right side
    129,709.58x = 9,673,988,044.91
  5. Step 5: Solve for x
    x = 9,673,988,044.91/129,709.58
  6. Step 6: Final answer
    x = 74,581.91

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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.