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Finding the Fourth Proportional to 78,824.96, 108,780.74 and 43,017.27

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Solution

The fourth proportional to 78,824.96, 108,780.74 and 43,017.27 is: 59,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.96 : 108,780.74 = 43,017.27 : x
  2. Step 2: Convert to fraction form
    78,824.96/108,780.74 = 43,017.27/x
  3. Step 3: Cross multiply
    78,824.96x = 108,780.74 × 43,017.27
  4. Step 4: Simplify right side
    78,824.96x = 4,679,450,463.38
  5. Step 5: Solve for x
    x = 4,679,450,463.38/78,824.96
  6. Step 6: Final answer
    x = 59,365.09

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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.