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Finding the Fourth Proportional to 149,029.76, 205,664.96 and 81,963.52

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Solution

The fourth proportional to 149,029.76, 205,664.96 and 81,963.52 is: 113,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,029.76 : 205,664.96 = 81,963.52 : x
  2. Step 2: Convert to fraction form
    149,029.76/205,664.96 = 81,963.52/x
  3. Step 3: Cross multiply
    149,029.76x = 205,664.96 × 81,963.52
  4. Step 4: Simplify right side
    149,029.76x = 16,857,024,062.26
  5. Step 5: Solve for x
    x = 16,857,024,062.26/149,029.76
  6. Step 6: Final answer
    x = 113,111.80

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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.