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Finding the Fourth Proportional to 90,005.68, 135,008.07 and 84,524.82

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Solution

The fourth proportional to 90,005.68, 135,008.07 and 84,524.82 is: 126,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,005.68 : 135,008.07 = 84,524.82 : x
  2. Step 2: Convert to fraction form
    90,005.68/135,008.07 = 84,524.82/x
  3. Step 3: Cross multiply
    90,005.68x = 135,008.07 × 84,524.82
  4. Step 4: Simplify right side
    90,005.68x = 11,411,531,992.05
  5. Step 5: Solve for x
    x = 11,411,531,992.05/90,005.68
  6. Step 6: Final answer
    x = 126,786.80

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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.