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Finding the Fourth Proportional to 136,636.43, 204,905.43 and 57,756.78

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Solution

The fourth proportional to 136,636.43, 204,905.43 and 57,756.78 is: 86,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,636.43 : 204,905.43 = 57,756.78 : x
  2. Step 2: Convert to fraction form
    136,636.43/204,905.43 = 57,756.78/x
  3. Step 3: Cross multiply
    136,636.43x = 204,905.43 × 57,756.78
  4. Step 4: Simplify right side
    136,636.43x = 11,834,677,841.32
  5. Step 5: Solve for x
    x = 11,834,677,841.32/136,636.43
  6. Step 6: Final answer
    x = 86,614.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.