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Finding the Fourth Proportional to 254,745.20, 382,117.80 and 136,647.20

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Solution

The fourth proportional to 254,745.20, 382,117.80 and 136,647.20 is: 204,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,745.20 : 382,117.80 = 136,647.20 : x
  2. Step 2: Convert to fraction form
    254,745.20/382,117.80 = 136,647.20/x
  3. Step 3: Cross multiply
    254,745.20x = 382,117.80 × 136,647.20
  4. Step 4: Simplify right side
    254,745.20x = 52,215,327,440.16
  5. Step 5: Solve for x
    x = 52,215,327,440.16/254,745.20
  6. Step 6: Final answer
    x = 204,970.80

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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.