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Finding the Fourth Proportional to 154,296.76, 231,463.78 and 54,436.46

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Solution

The fourth proportional to 154,296.76, 231,463.78 and 54,436.46 is: 81,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,296.76 : 231,463.78 = 54,436.46 : x
  2. Step 2: Convert to fraction form
    154,296.76/231,463.78 = 54,436.46/x
  3. Step 3: Cross multiply
    154,296.76x = 231,463.78 × 54,436.46
  4. Step 4: Simplify right side
    154,296.76x = 12,600,068,801.42
  5. Step 5: Solve for x
    x = 12,600,068,801.42/154,296.76
  6. Step 6: Final answer
    x = 81,661.27

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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.