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Finding the Fourth Proportional to 254,707.94, 381,894.24 and 142,553.72

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Solution

The fourth proportional to 254,707.94, 381,894.24 and 142,553.72 is: 213,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,707.94 : 381,894.24 = 142,553.72 : x
  2. Step 2: Convert to fraction form
    254,707.94/381,894.24 = 142,553.72/x
  3. Step 3: Cross multiply
    254,707.94x = 381,894.24 × 142,553.72
  4. Step 4: Simplify right side
    254,707.94x = 54,440,446,047.88
  5. Step 5: Solve for x
    x = 54,440,446,047.88/254,707.94
  6. Step 6: Final answer
    x = 213,736.74

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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.