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Finding the Fourth Proportional to 201,502.26, 302,031.72 and 83,108.88

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Solution

The fourth proportional to 201,502.26, 302,031.72 and 83,108.88 is: 124,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.26 : 302,031.72 = 83,108.88 : x
  2. Step 2: Convert to fraction form
    201,502.26/302,031.72 = 83,108.88/x
  3. Step 3: Cross multiply
    201,502.26x = 302,031.72 × 83,108.88
  4. Step 4: Simplify right side
    201,502.26x = 25,101,517,973.67
  5. Step 5: Solve for x
    x = 25,101,517,973.67/201,502.26
  6. Step 6: Final answer
    x = 124,571.89

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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.