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Finding the Fourth Proportional to 85,160.56, 117,519.96 and 53,347

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Solution

The fourth proportional to 85,160.56, 117,519.96 and 53,347 is: 73,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,160.56 : 117,519.96 = 53,347 : x
  2. Step 2: Convert to fraction form
    85,160.56/117,519.96 = 53,347/x
  3. Step 3: Cross multiply
    85,160.56x = 117,519.96 × 53,347
  4. Step 4: Simplify right side
    85,160.56x = 6,269,337,306.12
  5. Step 5: Solve for x
    x = 6,269,337,306.12/85,160.56
  6. Step 6: Final answer
    x = 73,617.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.