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Finding the Fourth Proportional to 78,450.53, 108,262.40 and 42,640.54

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Solution

The fourth proportional to 78,450.53, 108,262.40 and 42,640.54 is: 58,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450.53 : 108,262.40 = 42,640.54 : x
  2. Step 2: Convert to fraction form
    78,450.53/108,262.40 = 42,640.54/x
  3. Step 3: Cross multiply
    78,450.53x = 108,262.40 × 42,640.54
  4. Step 4: Simplify right side
    78,450.53x = 4,616,367,197.70
  5. Step 5: Solve for x
    x = 4,616,367,197.70/78,450.53
  6. Step 6: Final answer
    x = 58,844.31

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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.