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Finding the Fourth Proportional to 102,481.82, 152,703.93 and 91,302.60

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Solution

The fourth proportional to 102,481.82, 152,703.93 and 91,302.60 is: 136,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.82 : 152,703.93 = 91,302.60 : x
  2. Step 2: Convert to fraction form
    102,481.82/152,703.93 = 91,302.60/x
  3. Step 3: Cross multiply
    102,481.82x = 152,703.93 × 91,302.60
  4. Step 4: Simplify right side
    102,481.82x = 13,942,265,839.22
  5. Step 5: Solve for x
    x = 13,942,265,839.22/102,481.82
  6. Step 6: Final answer
    x = 136,046.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.