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Finding the Fourth Proportional to 205,396, 308,145.92 and 57,652

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Solution

The fourth proportional to 205,396, 308,145.92 and 57,652 is: 86,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,396 : 308,145.92 = 57,652 : x
  2. Step 2: Convert to fraction form
    205,396/308,145.92 = 57,652/x
  3. Step 3: Cross multiply
    205,396x = 308,145.92 × 57,652
  4. Step 4: Simplify right side
    205,396x = 17,765,228,579.84
  5. Step 5: Solve for x
    x = 17,765,228,579.84/205,396
  6. Step 6: Final answer
    x = 86,492.57

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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.