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Finding the Fourth Proportional to 253,885.49, 380,846.61 and 85,405.08

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Solution

The fourth proportional to 253,885.49, 380,846.61 and 85,405.08 is: 128,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,885.49 : 380,846.61 = 85,405.08 : x
  2. Step 2: Convert to fraction form
    253,885.49/380,846.61 = 85,405.08/x
  3. Step 3: Cross multiply
    253,885.49x = 380,846.61 × 85,405.08
  4. Step 4: Simplify right side
    253,885.49x = 32,526,236,622.95
  5. Step 5: Solve for x
    x = 32,526,236,622.95/253,885.49
  6. Step 6: Final answer
    x = 128,113.81

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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.