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Finding the Fourth Proportional to 215,181, 296,949.78 and 125,757

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Solution

The fourth proportional to 215,181, 296,949.78 and 125,757 is: 173,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,181 : 296,949.78 = 125,757 : x
  2. Step 2: Convert to fraction form
    215,181/296,949.78 = 125,757/x
  3. Step 3: Cross multiply
    215,181x = 296,949.78 × 125,757
  4. Step 4: Simplify right side
    215,181x = 37,343,513,483.46
  5. Step 5: Solve for x
    x = 37,343,513,483.46/215,181
  6. Step 6: Final answer
    x = 173,544.66

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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.