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Finding the Fourth Proportional to 102,891.51, 154,346.49 and 28,012.05

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Solution

The fourth proportional to 102,891.51, 154,346.49 and 28,012.05 is: 42,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,891.51 : 154,346.49 = 28,012.05 : x
  2. Step 2: Convert to fraction form
    102,891.51/154,346.49 = 28,012.05/x
  3. Step 3: Cross multiply
    102,891.51x = 154,346.49 × 28,012.05
  4. Step 4: Simplify right side
    102,891.51x = 4,323,561,595.20
  5. Step 5: Solve for x
    x = 4,323,561,595.20/102,891.51
  6. Step 6: Final answer
    x = 42,020.59

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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.