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Finding the Fourth Proportional to 205,463.70, 308,195.55 and 57,719.70

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Solution

The fourth proportional to 205,463.70, 308,195.55 and 57,719.70 is: 86,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,463.70 : 308,195.55 = 57,719.70 : x
  2. Step 2: Convert to fraction form
    205,463.70/308,195.55 = 57,719.70/x
  3. Step 3: Cross multiply
    205,463.70x = 308,195.55 × 57,719.70
  4. Step 4: Simplify right side
    205,463.70x = 17,788,954,687.34
  5. Step 5: Solve for x
    x = 17,788,954,687.34/205,463.70
  6. Step 6: Final answer
    x = 86,579.55

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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.