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Finding the Fourth Proportional to 154,035, 212,568.30 and 83,379

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Solution

The fourth proportional to 154,035, 212,568.30 and 83,379 is: 115,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,035 : 212,568.30 = 83,379 : x
  2. Step 2: Convert to fraction form
    154,035/212,568.30 = 83,379/x
  3. Step 3: Cross multiply
    154,035x = 212,568.30 × 83,379
  4. Step 4: Simplify right side
    154,035x = 17,723,732,285.70
  5. Step 5: Solve for x
    x = 17,723,732,285.70/154,035
  6. Step 6: Final answer
    x = 115,063.02

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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.