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Finding the Fourth Proportional to 205,352.42, 308,028.44 and 77,292.62

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Solution

The fourth proportional to 205,352.42, 308,028.44 and 77,292.62 is: 115,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,352.42 : 308,028.44 = 77,292.62 : x
  2. Step 2: Convert to fraction form
    205,352.42/308,028.44 = 77,292.62/x
  3. Step 3: Cross multiply
    205,352.42x = 308,028.44 × 77,292.62
  4. Step 4: Simplify right side
    205,352.42x = 23,808,325,162.11
  5. Step 5: Solve for x
    x = 23,808,325,162.11/205,352.42
  6. Step 6: Final answer
    x = 115,938.86

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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.