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Finding the Fourth Proportional to 254,141.34, 381,214.75 and 76,649.89

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Solution

The fourth proportional to 254,141.34, 381,214.75 and 76,649.89 is: 114,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,141.34 : 381,214.75 = 76,649.89 : x
  2. Step 2: Convert to fraction form
    254,141.34/381,214.75 = 76,649.89/x
  3. Step 3: Cross multiply
    254,141.34x = 381,214.75 × 76,649.89
  4. Step 4: Simplify right side
    254,141.34x = 29,220,068,270.63
  5. Step 5: Solve for x
    x = 29,220,068,270.63/254,141.34
  6. Step 6: Final answer
    x = 114,975.66

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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.