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Finding the Fourth Proportional to 227,638.80, 314,139.83 and 125,664.30

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Solution

The fourth proportional to 227,638.80, 314,139.83 and 125,664.30 is: 173,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,638.80 : 314,139.83 = 125,664.30 : x
  2. Step 2: Convert to fraction form
    227,638.80/314,139.83 = 125,664.30/x
  3. Step 3: Cross multiply
    227,638.80x = 314,139.83 × 125,664.30
  4. Step 4: Simplify right side
    227,638.80x = 39,476,161,210.75
  5. Step 5: Solve for x
    x = 39,476,161,210.75/227,638.80
  6. Step 6: Final answer
    x = 173,415.79

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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.