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Finding the Fourth Proportional to 85,922.52, 128,831.94 and 38,529

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Solution

The fourth proportional to 85,922.52, 128,831.94 and 38,529 is: 57,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,922.52 : 128,831.94 = 38,529 : x
  2. Step 2: Convert to fraction form
    85,922.52/128,831.94 = 38,529/x
  3. Step 3: Cross multiply
    85,922.52x = 128,831.94 × 38,529
  4. Step 4: Simplify right side
    85,922.52x = 4,963,765,816.26
  5. Step 5: Solve for x
    x = 4,963,765,816.26/85,922.52
  6. Step 6: Final answer
    x = 57,770.25

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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.