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Finding the Fourth Proportional to 204,689.28, 307,075.32 and 86,360.88

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Solution

The fourth proportional to 204,689.28, 307,075.32 and 86,360.88 is: 129,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.28 : 307,075.32 = 86,360.88 : x
  2. Step 2: Convert to fraction form
    204,689.28/307,075.32 = 86,360.88/x
  3. Step 3: Cross multiply
    204,689.28x = 307,075.32 × 86,360.88
  4. Step 4: Simplify right side
    204,689.28x = 26,519,294,861.48
  5. Step 5: Solve for x
    x = 26,519,294,861.48/204,689.28
  6. Step 6: Final answer
    x = 129,558.79

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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.