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Finding the Fourth Proportional to 159,981.80, 239,972.70 and 54,787.10

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Solution

The fourth proportional to 159,981.80, 239,972.70 and 54,787.10 is: 82,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,981.80 : 239,972.70 = 54,787.10 : x
  2. Step 2: Convert to fraction form
    159,981.80/239,972.70 = 54,787.10/x
  3. Step 3: Cross multiply
    159,981.80x = 239,972.70 × 54,787.10
  4. Step 4: Simplify right side
    159,981.80x = 13,147,408,312.17
  5. Step 5: Solve for x
    x = 13,147,408,312.17/159,981.80
  6. Step 6: Final answer
    x = 82,180.65

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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.