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Finding the Fourth Proportional to 255,753.28, 383,362.38 and 87,214.54

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Solution

The fourth proportional to 255,753.28, 383,362.38 and 87,214.54 is: 130,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,753.28 : 383,362.38 = 87,214.54 : x
  2. Step 2: Convert to fraction form
    255,753.28/383,362.38 = 87,214.54/x
  3. Step 3: Cross multiply
    255,753.28x = 383,362.38 × 87,214.54
  4. Step 4: Simplify right side
    255,753.28x = 33,434,773,625.01
  5. Step 5: Solve for x
    x = 33,434,773,625.01/255,753.28
  6. Step 6: Final answer
    x = 130,730.58

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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.