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Finding the Fourth Proportional to 78,830.70, 108,786.75 and 43,021.46

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Solution

The fourth proportional to 78,830.70, 108,786.75 and 43,021.46 is: 59,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.70 : 108,786.75 = 43,021.46 : x
  2. Step 2: Convert to fraction form
    78,830.70/108,786.75 = 43,021.46/x
  3. Step 3: Cross multiply
    78,830.70x = 108,786.75 × 43,021.46
  4. Step 4: Simplify right side
    78,830.70x = 4,680,164,269.72
  5. Step 5: Solve for x
    x = 4,680,164,269.72/78,830.70
  6. Step 6: Final answer
    x = 59,369.82

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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.