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Finding the Fourth Proportional to 118,943.51, 164,130.44 and 71,195.90

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Solution

The fourth proportional to 118,943.51, 164,130.44 and 71,195.90 is: 98,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,943.51 : 164,130.44 = 71,195.90 : x
  2. Step 2: Convert to fraction form
    118,943.51/164,130.44 = 71,195.90/x
  3. Step 3: Cross multiply
    118,943.51x = 164,130.44 × 71,195.90
  4. Step 4: Simplify right side
    118,943.51x = 11,685,413,216.56
  5. Step 5: Solve for x
    x = 11,685,413,216.56/118,943.51
  6. Step 6: Final answer
    x = 98,243.39

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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.