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Finding the Fourth Proportional to 253,719.72, 380,492.10 and 85,213.80

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Solution

The fourth proportional to 253,719.72, 380,492.10 and 85,213.80 is: 127,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,719.72 : 380,492.10 = 85,213.80 : x
  2. Step 2: Convert to fraction form
    253,719.72/380,492.10 = 85,213.80/x
  3. Step 3: Cross multiply
    253,719.72x = 380,492.10 × 85,213.80
  4. Step 4: Simplify right side
    253,719.72x = 32,423,177,710.98
  5. Step 5: Solve for x
    x = 32,423,177,710.98/253,719.72
  6. Step 6: Final answer
    x = 127,791.32

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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.