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Finding the Fourth Proportional to 255,361.77, 383,038.34 and 65,821.77

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Solution

The fourth proportional to 255,361.77, 383,038.34 and 65,821.77 is: 98,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,361.77 : 383,038.34 = 65,821.77 : x
  2. Step 2: Convert to fraction form
    255,361.77/383,038.34 = 65,821.77/x
  3. Step 3: Cross multiply
    255,361.77x = 383,038.34 × 65,821.77
  4. Step 4: Simplify right side
    255,361.77x = 25,212,261,187.55
  5. Step 5: Solve for x
    x = 25,212,261,187.55/255,361.77
  6. Step 6: Final answer
    x = 98,731.54

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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.