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Finding the Fourth Proportional to 221,955.48, 306,317.31 and 135,914.04

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Solution

The fourth proportional to 221,955.48, 306,317.31 and 135,914.04 is: 187,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,955.48 : 306,317.31 = 135,914.04 : x
  2. Step 2: Convert to fraction form
    221,955.48/306,317.31 = 135,914.04/x
  3. Step 3: Cross multiply
    221,955.48x = 306,317.31 × 135,914.04
  4. Step 4: Simplify right side
    221,955.48x = 41,632,823,124.03
  5. Step 5: Solve for x
    x = 41,632,823,124.03/221,955.48
  6. Step 6: Final answer
    x = 187,572.86

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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.