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Finding the Fourth Proportional to 161,514.08, 223,142.22 and 123,407

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Solution

The fourth proportional to 161,514.08, 223,142.22 and 123,407 is: 170,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,514.08 : 223,142.22 = 123,407 : x
  2. Step 2: Convert to fraction form
    161,514.08/223,142.22 = 123,407/x
  3. Step 3: Cross multiply
    161,514.08x = 223,142.22 × 123,407
  4. Step 4: Simplify right side
    161,514.08x = 27,537,311,943.54
  5. Step 5: Solve for x
    x = 27,537,311,943.54/161,514.08
  6. Step 6: Final answer
    x = 170,494.81

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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.