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Finding the Fourth Proportional to 135,502.40, 203,031.86 and 82,032.31

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Solution

The fourth proportional to 135,502.40, 203,031.86 and 82,032.31 is: 122,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,502.40 : 203,031.86 = 82,032.31 : x
  2. Step 2: Convert to fraction form
    135,502.40/203,031.86 = 82,032.31/x
  3. Step 3: Cross multiply
    135,502.40x = 203,031.86 × 82,032.31
  4. Step 4: Simplify right side
    135,502.40x = 16,655,172,213.43
  5. Step 5: Solve for x
    x = 16,655,172,213.43/135,502.40
  6. Step 6: Final answer
    x = 122,914.22

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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.