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Finding the Fourth Proportional to 345,106.78, 517,635.40 and 108,517.12

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Solution

The fourth proportional to 345,106.78, 517,635.40 and 108,517.12 is: 162,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,106.78 : 517,635.40 = 108,517.12 : x
  2. Step 2: Convert to fraction form
    345,106.78/517,635.40 = 108,517.12/x
  3. Step 3: Cross multiply
    345,106.78x = 517,635.40 × 108,517.12
  4. Step 4: Simplify right side
    345,106.78x = 56,172,302,818.05
  5. Step 5: Solve for x
    x = 56,172,302,818.05/345,106.78
  6. Step 6: Final answer
    x = 162,767.89

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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.