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Finding the Fourth Proportional to 345,379, 518,097.84 and 96,061

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Solution

The fourth proportional to 345,379, 518,097.84 and 96,061 is: 144,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,379 : 518,097.84 = 96,061 : x
  2. Step 2: Convert to fraction form
    345,379/518,097.84 = 96,061/x
  3. Step 3: Cross multiply
    345,379x = 518,097.84 × 96,061
  4. Step 4: Simplify right side
    345,379x = 49,768,996,608.24
  5. Step 5: Solve for x
    x = 49,768,996,608.24/345,379
  6. Step 6: Final answer
    x = 144,099.66

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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.