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Finding the Fourth Proportional to 205,919.16, 308,881.78 and 81,259

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Solution

The fourth proportional to 205,919.16, 308,881.78 and 81,259 is: 121,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.16 : 308,881.78 = 81,259 : x
  2. Step 2: Convert to fraction form
    205,919.16/308,881.78 = 81,259/x
  3. Step 3: Cross multiply
    205,919.16x = 308,881.78 × 81,259
  4. Step 4: Simplify right side
    205,919.16x = 25,099,424,561.02
  5. Step 5: Solve for x
    x = 25,099,424,561.02/205,919.16
  6. Step 6: Final answer
    x = 121,889.70

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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.