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Finding the Fourth Proportional to 225,171.19, 310,735.88 and 123,197.06

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Solution

The fourth proportional to 225,171.19, 310,735.88 and 123,197.06 is: 170,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,171.19 : 310,735.88 = 123,197.06 : x
  2. Step 2: Convert to fraction form
    225,171.19/310,735.88 = 123,197.06/x
  3. Step 3: Cross multiply
    225,171.19x = 310,735.88 × 123,197.06
  4. Step 4: Simplify right side
    225,171.19x = 38,281,747,821.85
  5. Step 5: Solve for x
    x = 38,281,747,821.85/225,171.19
  6. Step 6: Final answer
    x = 170,011.75

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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.