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Finding the Fourth Proportional to 178,966, 268,450.62 and 54,307

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Solution

The fourth proportional to 178,966, 268,450.62 and 54,307 is: 81,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,966 : 268,450.62 = 54,307 : x
  2. Step 2: Convert to fraction form
    178,966/268,450.62 = 54,307/x
  3. Step 3: Cross multiply
    178,966x = 268,450.62 × 54,307
  4. Step 4: Simplify right side
    178,966x = 14,578,747,820.34
  5. Step 5: Solve for x
    x = 14,578,747,820.34/178,966
  6. Step 6: Final answer
    x = 81,460.99

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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.