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Finding the Fourth Proportional to 128,467, 177,284.46 and 71,889.31

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Solution

The fourth proportional to 128,467, 177,284.46 and 71,889.31 is: 99,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,467 : 177,284.46 = 71,889.31 : x
  2. Step 2: Convert to fraction form
    128,467/177,284.46 = 71,889.31/x
  3. Step 3: Cross multiply
    128,467x = 177,284.46 × 71,889.31
  4. Step 4: Simplify right side
    128,467x = 12,744,857,503.12
  5. Step 5: Solve for x
    x = 12,744,857,503.12/128,467
  6. Step 6: Final answer
    x = 99,207.25

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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.