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Finding the Fourth Proportional to 180,521.53, 270,819.65 and 54,156.67

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Solution

The fourth proportional to 180,521.53, 270,819.65 and 54,156.67 is: 81,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.53 : 270,819.65 = 54,156.67 : x
  2. Step 2: Convert to fraction form
    180,521.53/270,819.65 = 54,156.67/x
  3. Step 3: Cross multiply
    180,521.53x = 270,819.65 × 54,156.67
  4. Step 4: Simplify right side
    180,521.53x = 14,666,689,872.91
  5. Step 5: Solve for x
    x = 14,666,689,872.91/180,521.53
  6. Step 6: Final answer
    x = 81,246.21

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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.