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Finding the Fourth Proportional to 177,129, 265,508.97 and 77,262.39

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Solution

The fourth proportional to 177,129, 265,508.97 and 77,262.39 is: 115,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,129 : 265,508.97 = 77,262.39 : x
  2. Step 2: Convert to fraction form
    177,129/265,508.97 = 77,262.39/x
  3. Step 3: Cross multiply
    177,129x = 265,508.97 × 77,262.39
  4. Step 4: Simplify right side
    177,129x = 20,513,857,588.64
  5. Step 5: Solve for x
    x = 20,513,857,588.64/177,129
  6. Step 6: Final answer
    x = 115,813.09

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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.