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Finding the Fourth Proportional to 205,157, 283,126.44 and 115,733

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Solution

The fourth proportional to 205,157, 283,126.44 and 115,733 is: 159,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,157 : 283,126.44 = 115,733 : x
  2. Step 2: Convert to fraction form
    205,157/283,126.44 = 115,733/x
  3. Step 3: Cross multiply
    205,157x = 283,126.44 × 115,733
  4. Step 4: Simplify right side
    205,157x = 32,767,072,280.52
  5. Step 5: Solve for x
    x = 32,767,072,280.52/205,157
  6. Step 6: Final answer
    x = 159,717.06

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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.