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Finding the Fourth Proportional to 205,954.57, 308,374.31 and 145,735.52

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Solution

The fourth proportional to 205,954.57, 308,374.31 and 145,735.52 is: 218,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954.57 : 308,374.31 = 145,735.52 : x
  2. Step 2: Convert to fraction form
    205,954.57/308,374.31 = 145,735.52/x
  3. Step 3: Cross multiply
    205,954.57x = 308,374.31 × 145,735.52
  4. Step 4: Simplify right side
    205,954.57x = 44,941,090,422.49
  5. Step 5: Solve for x
    x = 44,941,090,422.49/205,954.57
  6. Step 6: Final answer
    x = 218,208.76

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1.5x scale

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.