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Finding the Fourth Proportional to 154,205.92, 212,780 and 89,689.44

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Solution

The fourth proportional to 154,205.92, 212,780 and 89,689.44 is: 123,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,205.92 : 212,780 = 89,689.44 : x
  2. Step 2: Convert to fraction form
    154,205.92/212,780 = 89,689.44/x
  3. Step 3: Cross multiply
    154,205.92x = 212,780 × 89,689.44
  4. Step 4: Simplify right side
    154,205.92x = 19,084,119,043.20
  5. Step 5: Solve for x
    x = 19,084,119,043.20/154,205.92
  6. Step 6: Final answer
    x = 123,757.37

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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.