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Finding the Fourth Proportional to 275,818.63, 413,751.75 and 76,139.05

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Solution

The fourth proportional to 275,818.63, 413,751.75 and 76,139.05 is: 114,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,818.63 : 413,751.75 = 76,139.05 : x
  2. Step 2: Convert to fraction form
    275,818.63/413,751.75 = 76,139.05/x
  3. Step 3: Cross multiply
    275,818.63x = 413,751.75 × 76,139.05
  4. Step 4: Simplify right side
    275,818.63x = 31,502,665,180.84
  5. Step 5: Solve for x
    x = 31,502,665,180.84/275,818.63
  6. Step 6: Final answer
    x = 114,215.15

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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.