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Finding the Fourth Proportional to 114,489.71, 171,840.27 and 82,502

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Solution

The fourth proportional to 114,489.71, 171,840.27 and 82,502 is: 123,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,489.71 : 171,840.27 = 82,502 : x
  2. Step 2: Convert to fraction form
    114,489.71/171,840.27 = 82,502/x
  3. Step 3: Cross multiply
    114,489.71x = 171,840.27 × 82,502
  4. Step 4: Simplify right side
    114,489.71x = 14,177,165,955.54
  5. Step 5: Solve for x
    x = 14,177,165,955.54/114,489.71
  6. Step 6: Final answer
    x = 123,829.17

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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.