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Finding the Fourth Proportional to 270,631.28, 406,006.72 and 81,083.92

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Solution

The fourth proportional to 270,631.28, 406,006.72 and 81,083.92 is: 121,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,631.28 : 406,006.72 = 81,083.92 : x
  2. Step 2: Convert to fraction form
    270,631.28/406,006.72 = 81,083.92/x
  3. Step 3: Cross multiply
    270,631.28x = 406,006.72 × 81,083.92
  4. Step 4: Simplify right side
    270,631.28x = 32,920,616,403.94
  5. Step 5: Solve for x
    x = 32,920,616,403.94/270,631.28
  6. Step 6: Final answer
    x = 121,643.80

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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.