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Finding the Fourth Proportional to 255,361.52, 383,104.32 and 77,871.68

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Solution

The fourth proportional to 255,361.52, 383,104.32 and 77,871.68 is: 116,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,361.52 : 383,104.32 = 77,871.68 : x
  2. Step 2: Convert to fraction form
    255,361.52/383,104.32 = 77,871.68/x
  3. Step 3: Cross multiply
    255,361.52x = 383,104.32 × 77,871.68
  4. Step 4: Simplify right side
    255,361.52x = 29,832,977,013.66
  5. Step 5: Solve for x
    x = 29,832,977,013.66/255,361.52
  6. Step 6: Final answer
    x = 116,826.44

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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.