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Finding the Fourth Proportional to 129,057, 193,592.79 and 45,951

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Solution

The fourth proportional to 129,057, 193,592.79 and 45,951 is: 68,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057 : 193,592.79 = 45,951 : x
  2. Step 2: Convert to fraction form
    129,057/193,592.79 = 45,951/x
  3. Step 3: Cross multiply
    129,057x = 193,592.79 × 45,951
  4. Step 4: Simplify right side
    129,057x = 8,895,782,293.29
  5. Step 5: Solve for x
    x = 8,895,782,293.29/129,057
  6. Step 6: Final answer
    x = 68,929.10

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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.