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Finding the Fourth Proportional to 154,578, 231,799.48 and 54,705

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Solution

The fourth proportional to 154,578, 231,799.48 and 54,705 is: 82,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,578 : 231,799.48 = 54,705 : x
  2. Step 2: Convert to fraction form
    154,578/231,799.48 = 54,705/x
  3. Step 3: Cross multiply
    154,578x = 231,799.48 × 54,705
  4. Step 4: Simplify right side
    154,578x = 12,680,590,553.40
  5. Step 5: Solve for x
    x = 12,680,590,553.40/154,578
  6. Step 6: Final answer
    x = 82,033.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.