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Finding the Fourth Proportional to 255,135.28, 382,694.41 and 137,037.28

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Solution

The fourth proportional to 255,135.28, 382,694.41 and 137,037.28 is: 205,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,135.28 : 382,694.41 = 137,037.28 : x
  2. Step 2: Convert to fraction form
    255,135.28/382,694.41 = 137,037.28/x
  3. Step 3: Cross multiply
    255,135.28x = 382,694.41 × 137,037.28
  4. Step 4: Simplify right side
    255,135.28x = 52,443,401,017.60
  5. Step 5: Solve for x
    x = 52,443,401,017.60/255,135.28
  6. Step 6: Final answer
    x = 205,551.35

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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.