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Finding the Fourth Proportional to 154,846.66, 213,809.40 and 100,424.76

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Solution

The fourth proportional to 154,846.66, 213,809.40 and 100,424.76 is: 138,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,846.66 : 213,809.40 = 100,424.76 : x
  2. Step 2: Convert to fraction form
    154,846.66/213,809.40 = 100,424.76/x
  3. Step 3: Cross multiply
    154,846.66x = 213,809.40 × 100,424.76
  4. Step 4: Simplify right side
    154,846.66x = 21,471,757,799.19
  5. Step 5: Solve for x
    x = 21,471,757,799.19/154,846.66
  6. Step 6: Final answer
    x = 138,664.65

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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.