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Finding the Fourth Proportional to 78,123.44, 117,190.62 and 38,669.96

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Solution

The fourth proportional to 78,123.44, 117,190.62 and 38,669.96 is: 58,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.44 : 117,190.62 = 38,669.96 : x
  2. Step 2: Convert to fraction form
    78,123.44/117,190.62 = 38,669.96/x
  3. Step 3: Cross multiply
    78,123.44x = 117,190.62 × 38,669.96
  4. Step 4: Simplify right side
    78,123.44x = 4,531,756,001.82
  5. Step 5: Solve for x
    x = 4,531,756,001.82/78,123.44
  6. Step 6: Final answer
    x = 58,007.64

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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.