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Finding the Fourth Proportional to 78,634.63, 108,512.31 and 42,822.49

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Solution

The fourth proportional to 78,634.63, 108,512.31 and 42,822.49 is: 59,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634.63 : 108,512.31 = 42,822.49 : x
  2. Step 2: Convert to fraction form
    78,634.63/108,512.31 = 42,822.49/x
  3. Step 3: Cross multiply
    78,634.63x = 108,512.31 × 42,822.49
  4. Step 4: Simplify right side
    78,634.63x = 4,646,767,309.85
  5. Step 5: Solve for x
    x = 4,646,767,309.85/78,634.63
  6. Step 6: Final answer
    x = 59,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.