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Finding the Fourth Proportional to 270,633.28, 406,009.72 and 81,085.92

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Solution

The fourth proportional to 270,633.28, 406,009.72 and 81,085.92 is: 121,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,633.28 : 406,009.72 = 81,085.92 : x
  2. Step 2: Convert to fraction form
    270,633.28/406,009.72 = 81,085.92/x
  3. Step 3: Cross multiply
    270,633.28x = 406,009.72 × 81,085.92
  4. Step 4: Simplify right side
    270,633.28x = 32,921,671,675.14
  5. Step 5: Solve for x
    x = 32,921,671,675.14/270,633.28
  6. Step 6: Final answer
    x = 121,646.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.