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Finding the Fourth Proportional to 254,078.88, 381,132.90 and 76,567.40

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Solution

The fourth proportional to 254,078.88, 381,132.90 and 76,567.40 is: 114,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,078.88 : 381,132.90 = 76,567.40 : x
  2. Step 2: Convert to fraction form
    254,078.88/381,132.90 = 76,567.40/x
  3. Step 3: Cross multiply
    254,078.88x = 381,132.90 × 76,567.40
  4. Step 4: Simplify right side
    254,078.88x = 29,182,355,207.46
  5. Step 5: Solve for x
    x = 29,182,355,207.46/254,078.88
  6. Step 6: Final answer
    x = 114,855.49

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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.