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Finding the Fourth Proportional to 225,206.29, 310,779.88 and 123,231.34

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Solution

The fourth proportional to 225,206.29, 310,779.88 and 123,231.34 is: 170,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,206.29 : 310,779.88 = 123,231.34 : x
  2. Step 2: Convert to fraction form
    225,206.29/310,779.88 = 123,231.34/x
  3. Step 3: Cross multiply
    225,206.29x = 310,779.88 × 123,231.34
  4. Step 4: Simplify right side
    225,206.29x = 38,297,821,057.44
  5. Step 5: Solve for x
    x = 38,297,821,057.44/225,206.29
  6. Step 6: Final answer
    x = 170,056.62

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1.5x scale

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.