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Finding the Fourth Proportional to 254,541.45, 381,810 and 102,736.20

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Solution

The fourth proportional to 254,541.45, 381,810 and 102,736.20 is: 154,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,541.45 : 381,810 = 102,736.20 : x
  2. Step 2: Convert to fraction form
    254,541.45/381,810 = 102,736.20/x
  3. Step 3: Cross multiply
    254,541.45x = 381,810 × 102,736.20
  4. Step 4: Simplify right side
    254,541.45x = 39,225,708,522
  5. Step 5: Solve for x
    x = 39,225,708,522/254,541.45
  6. Step 6: Final answer
    x = 154,103.42

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1.5x scale

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.