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Finding the Fourth Proportional to 154,189.68, 212,817.32 and 100,381

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Solution

The fourth proportional to 154,189.68, 212,817.32 and 100,381 is: 138,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189.68 : 212,817.32 = 100,381 : x
  2. Step 2: Convert to fraction form
    154,189.68/212,817.32 = 100,381/x
  3. Step 3: Cross multiply
    154,189.68x = 212,817.32 × 100,381
  4. Step 4: Simplify right side
    154,189.68x = 21,362,815,398.92
  5. Step 5: Solve for x
    x = 21,362,815,398.92/154,189.68
  6. Step 6: Final answer
    x = 138,548.93

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1.5x scale

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.