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Finding the Fourth Proportional to 145,021.22, 217,523.04 and 86,231

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Solution

The fourth proportional to 145,021.22, 217,523.04 and 86,231 is: 129,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,021.22 : 217,523.04 = 86,231 : x
  2. Step 2: Convert to fraction form
    145,021.22/217,523.04 = 86,231/x
  3. Step 3: Cross multiply
    145,021.22x = 217,523.04 × 86,231
  4. Step 4: Simplify right side
    145,021.22x = 18,757,229,262.24
  5. Step 5: Solve for x
    x = 18,757,229,262.24/145,021.22
  6. Step 6: Final answer
    x = 129,341.27

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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.