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Finding the Fourth Proportional to 85,658.35, 128,513.81 and 38,313.27

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Solution

The fourth proportional to 85,658.35, 128,513.81 and 38,313.27 is: 57,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,658.35 : 128,513.81 = 38,313.27 : x
  2. Step 2: Convert to fraction form
    85,658.35/128,513.81 = 38,313.27/x
  3. Step 3: Cross multiply
    85,658.35x = 128,513.81 × 38,313.27
  4. Step 4: Simplify right side
    85,658.35x = 4,923,784,301.26
  5. Step 5: Solve for x
    x = 4,923,784,301.26/85,658.35
  6. Step 6: Final answer
    x = 57,481.66

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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.