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Finding the Fourth Proportional to 205,715.71, 283,913.94 and 115,076.71

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Solution

The fourth proportional to 205,715.71, 283,913.94 and 115,076.71 is: 158,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,715.71 : 283,913.94 = 115,076.71 : x
  2. Step 2: Convert to fraction form
    205,715.71/283,913.94 = 115,076.71/x
  3. Step 3: Cross multiply
    205,715.71x = 283,913.94 × 115,076.71
  4. Step 4: Simplify right side
    205,715.71x = 32,671,882,138.34
  5. Step 5: Solve for x
    x = 32,671,882,138.34/205,715.71
  6. Step 6: Final answer
    x = 158,820.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.