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Finding the Fourth Proportional to 225,509.60, 311,199.24 and 123,537.08

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Solution

The fourth proportional to 225,509.60, 311,199.24 and 123,537.08 is: 170,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,509.60 : 311,199.24 = 123,537.08 : x
  2. Step 2: Convert to fraction form
    225,509.60/311,199.24 = 123,537.08/x
  3. Step 3: Cross multiply
    225,509.60x = 311,199.24 × 123,537.08
  4. Step 4: Simplify right side
    225,509.60x = 38,444,645,407.82
  5. Step 5: Solve for x
    x = 38,444,645,407.82/225,509.60
  6. Step 6: Final answer
    x = 170,478.97

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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.