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Finding the Fourth Proportional to 254,235.34, 381,355.71 and 76,743.82

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Solution

The fourth proportional to 254,235.34, 381,355.71 and 76,743.82 is: 115,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,235.34 : 381,355.71 = 76,743.82 : x
  2. Step 2: Convert to fraction form
    254,235.34/381,355.71 = 76,743.82/x
  3. Step 3: Cross multiply
    254,235.34x = 381,355.71 × 76,743.82
  4. Step 4: Simplify right side
    254,235.34x = 29,266,693,964.21
  5. Step 5: Solve for x
    x = 29,266,693,964.21/254,235.34
  6. Step 6: Final answer
    x = 115,116.55

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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.