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Finding the Fourth Proportional to 129,863.48, 194,678.26 and 46,699

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Solution

The fourth proportional to 129,863.48, 194,678.26 and 46,699 is: 70,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,863.48 : 194,678.26 = 46,699 : x
  2. Step 2: Convert to fraction form
    129,863.48/194,678.26 = 46,699/x
  3. Step 3: Cross multiply
    129,863.48x = 194,678.26 × 46,699
  4. Step 4: Simplify right side
    129,863.48x = 9,091,280,063.74
  5. Step 5: Solve for x
    x = 9,091,280,063.74/129,863.48
  6. Step 6: Final answer
    x = 70,006.44

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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.