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Finding the Fourth Proportional to 102,893.80, 154,340.70 and 32,780.20

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Solution

The fourth proportional to 102,893.80, 154,340.70 and 32,780.20 is: 49,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.80 : 154,340.70 = 32,780.20 : x
  2. Step 2: Convert to fraction form
    102,893.80/154,340.70 = 32,780.20/x
  3. Step 3: Cross multiply
    102,893.80x = 154,340.70 × 32,780.20
  4. Step 4: Simplify right side
    102,893.80x = 5,059,319,014.14
  5. Step 5: Solve for x
    x = 5,059,319,014.14/102,893.80
  6. Step 6: Final answer
    x = 49,170.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.