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Finding the Fourth Proportional to 78,635, 108,516.30 and 43,307

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Solution

The fourth proportional to 78,635, 108,516.30 and 43,307 is: 59,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,635 : 108,516.30 = 43,307 : x
  2. Step 2: Convert to fraction form
    78,635/108,516.30 = 43,307/x
  3. Step 3: Cross multiply
    78,635x = 108,516.30 × 43,307
  4. Step 4: Simplify right side
    78,635x = 4,699,515,404.10
  5. Step 5: Solve for x
    x = 4,699,515,404.10/78,635
  6. Step 6: Final answer
    x = 59,763.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.