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Finding the Fourth Proportional to 205,155, 283,123.68 and 115,731

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Solution

The fourth proportional to 205,155, 283,123.68 and 115,731 is: 159,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,155 : 283,123.68 = 115,731 : x
  2. Step 2: Convert to fraction form
    205,155/283,123.68 = 115,731/x
  3. Step 3: Cross multiply
    205,155x = 283,123.68 × 115,731
  4. Step 4: Simplify right side
    205,155x = 32,766,186,610.08
  5. Step 5: Solve for x
    x = 32,766,186,610.08/205,155
  6. Step 6: Final answer
    x = 159,714.30

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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.