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Finding the Fourth Proportional to 154,027, 212,557.90 and 83,371

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Solution

The fourth proportional to 154,027, 212,557.90 and 83,371 is: 115,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,027 : 212,557.90 = 83,371 : x
  2. Step 2: Convert to fraction form
    154,027/212,557.90 = 83,371/x
  3. Step 3: Cross multiply
    154,027x = 212,557.90 × 83,371
  4. Step 4: Simplify right side
    154,027x = 17,721,164,680.90
  5. Step 5: Solve for x
    x = 17,721,164,680.90/154,027
  6. Step 6: Final answer
    x = 115,052.33

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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.