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Finding the Fourth Proportional to 77,123.54, 115,672.44 and 27,191.90

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Solution

The fourth proportional to 77,123.54, 115,672.44 and 27,191.90 is: 40,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,123.54 : 115,672.44 = 27,191.90 : x
  2. Step 2: Convert to fraction form
    77,123.54/115,672.44 = 27,191.90/x
  3. Step 3: Cross multiply
    77,123.54x = 115,672.44 × 27,191.90
  4. Step 4: Simplify right side
    77,123.54x = 3,145,353,421.24
  5. Step 5: Solve for x
    x = 3,145,353,421.24/77,123.54
  6. Step 6: Final answer
    x = 40,783.31

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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.