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Finding the Fourth Proportional to 154,187.68, 212,814.56 and 100,379

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Solution

The fourth proportional to 154,187.68, 212,814.56 and 100,379 is: 138,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,187.68 : 212,814.56 = 100,379 : x
  2. Step 2: Convert to fraction form
    154,187.68/212,814.56 = 100,379/x
  3. Step 3: Cross multiply
    154,187.68x = 212,814.56 × 100,379
  4. Step 4: Simplify right side
    154,187.68x = 21,362,112,718.24
  5. Step 5: Solve for x
    x = 21,362,112,718.24/154,187.68
  6. Step 6: Final answer
    x = 138,546.17

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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.