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Finding the Fourth Proportional to 253,732.78, 380,642.94 and 85,269.28

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Solution

The fourth proportional to 253,732.78, 380,642.94 and 85,269.28 is: 127,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,732.78 : 380,642.94 = 85,269.28 : x
  2. Step 2: Convert to fraction form
    253,732.78/380,642.94 = 85,269.28/x
  3. Step 3: Cross multiply
    253,732.78x = 380,642.94 × 85,269.28
  4. Step 4: Simplify right side
    253,732.78x = 32,457,149,430.88
  5. Step 5: Solve for x
    x = 32,457,149,430.88/253,732.78
  6. Step 6: Final answer
    x = 127,918.63

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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.