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Finding the Fourth Proportional to 201,615.09, 302,472.45 and 83,320.26

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Solution

The fourth proportional to 201,615.09, 302,472.45 and 83,320.26 is: 125,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,615.09 : 302,472.45 = 83,320.26 : x
  2. Step 2: Convert to fraction form
    201,615.09/302,472.45 = 83,320.26/x
  3. Step 3: Cross multiply
    201,615.09x = 302,472.45 × 83,320.26
  4. Step 4: Simplify right side
    201,615.09x = 25,202,083,176.84
  5. Step 5: Solve for x
    x = 25,202,083,176.84/201,615.09
  6. Step 6: Final answer
    x = 125,000.98

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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.