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Finding the Fourth Proportional to 205,718.40, 308,383.20 and 121,543.20

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Solution

The fourth proportional to 205,718.40, 308,383.20 and 121,543.20 is: 182,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,718.40 : 308,383.20 = 121,543.20 : x
  2. Step 2: Convert to fraction form
    205,718.40/308,383.20 = 121,543.20/x
  3. Step 3: Cross multiply
    205,718.40x = 308,383.20 × 121,543.20
  4. Step 4: Simplify right side
    205,718.40x = 37,481,880,954.24
  5. Step 5: Solve for x
    x = 37,481,880,954.24/205,718.40
  6. Step 6: Final answer
    x = 182,199.94

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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.