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Finding the Fourth Proportional to 205,401, 308,153.42 and 57,657

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Solution

The fourth proportional to 205,401, 308,153.42 and 57,657 is: 86,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,401 : 308,153.42 = 57,657 : x
  2. Step 2: Convert to fraction form
    205,401/308,153.42 = 57,657/x
  3. Step 3: Cross multiply
    205,401x = 308,153.42 × 57,657
  4. Step 4: Simplify right side
    205,401x = 17,767,201,736.94
  5. Step 5: Solve for x
    x = 17,767,201,736.94/205,401
  6. Step 6: Final answer
    x = 86,500.07

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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.