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Finding the Fourth Proportional to 178,745.86, 268,123.65 and 54,086.86

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Solution

The fourth proportional to 178,745.86, 268,123.65 and 54,086.86 is: 81,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745.86 : 268,123.65 = 54,086.86 : x
  2. Step 2: Convert to fraction form
    178,745.86/268,123.65 = 54,086.86/x
  3. Step 3: Cross multiply
    178,745.86x = 268,123.65 × 54,086.86
  4. Step 4: Simplify right side
    178,745.86x = 14,501,966,320.24
  5. Step 5: Solve for x
    x = 14,501,966,320.24/178,745.86
  6. Step 6: Final answer
    x = 81,131.76

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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.