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Finding the Fourth Proportional to 225,204.50, 310,780.60 and 123,228.03

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Solution

The fourth proportional to 225,204.50, 310,780.60 and 123,228.03 is: 170,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,204.50 : 310,780.60 = 123,228.03 : x
  2. Step 2: Convert to fraction form
    225,204.50/310,780.60 = 123,228.03/x
  3. Step 3: Cross multiply
    225,204.50x = 310,780.60 × 123,228.03
  4. Step 4: Simplify right side
    225,204.50x = 38,296,881,957.58
  5. Step 5: Solve for x
    x = 38,296,881,957.58/225,204.50
  6. Step 6: Final answer
    x = 170,053.80

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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.