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Finding the Fourth Proportional to 178,932, 268,399.62 and 54,273

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Solution

The fourth proportional to 178,932, 268,399.62 and 54,273 is: 81,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,932 : 268,399.62 = 54,273 : x
  2. Step 2: Convert to fraction form
    178,932/268,399.62 = 54,273/x
  3. Step 3: Cross multiply
    178,932x = 268,399.62 × 54,273
  4. Step 4: Simplify right side
    178,932x = 14,566,852,576.26
  5. Step 5: Solve for x
    x = 14,566,852,576.26/178,932
  6. Step 6: Final answer
    x = 81,409.99

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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.