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Finding the Fourth Proportional to 205,642.16, 283,672.20 and 119,591.72

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Solution

The fourth proportional to 205,642.16, 283,672.20 and 119,591.72 is: 164,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,642.16 : 283,672.20 = 119,591.72 : x
  2. Step 2: Convert to fraction form
    205,642.16/283,672.20 = 119,591.72/x
  3. Step 3: Cross multiply
    205,642.16x = 283,672.20 × 119,591.72
  4. Step 4: Simplify right side
    205,642.16x = 33,924,846,314.18
  5. Step 5: Solve for x
    x = 33,924,846,314.18/205,642.16
  6. Step 6: Final answer
    x = 164,970.29

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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.