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Finding the Fourth Proportional to 270,677.73, 406,072.64 and 81,130.44

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Solution

The fourth proportional to 270,677.73, 406,072.64 and 81,130.44 is: 121,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,677.73 : 406,072.64 = 81,130.44 : x
  2. Step 2: Convert to fraction form
    270,677.73/406,072.64 = 81,130.44/x
  3. Step 3: Cross multiply
    270,677.73x = 406,072.64 × 81,130.44
  4. Step 4: Simplify right side
    270,677.73x = 32,944,851,955.16
  5. Step 5: Solve for x
    x = 32,944,851,955.16/270,677.73
  6. Step 6: Final answer
    x = 121,712.46

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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.