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Finding the Fourth Proportional to 154,402.97, 231,623.13 and 54,542.72

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Solution

The fourth proportional to 154,402.97, 231,623.13 and 54,542.72 is: 81,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,402.97 : 231,623.13 = 54,542.72 : x
  2. Step 2: Convert to fraction form
    154,402.97/231,623.13 = 54,542.72/x
  3. Step 3: Cross multiply
    154,402.97x = 231,623.13 × 54,542.72
  4. Step 4: Simplify right side
    154,402.97x = 12,633,355,252.40
  5. Step 5: Solve for x
    x = 12,633,355,252.40/154,402.97
  6. Step 6: Final answer
    x = 81,820.68

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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.