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Finding the Fourth Proportional to 205,920.16, 308,883.28 and 81,260

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Solution

The fourth proportional to 205,920.16, 308,883.28 and 81,260 is: 121,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920.16 : 308,883.28 = 81,260 : x
  2. Step 2: Convert to fraction form
    205,920.16/308,883.28 = 81,260/x
  3. Step 3: Cross multiply
    205,920.16x = 308,883.28 × 81,260
  4. Step 4: Simplify right side
    205,920.16x = 25,099,855,332.80
  5. Step 5: Solve for x
    x = 25,099,855,332.80/205,920.16
  6. Step 6: Final answer
    x = 121,891.20

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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.