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Finding the Fourth Proportional to 154,689.76, 231,872.64 and 64,783.80

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Solution

The fourth proportional to 154,689.76, 231,872.64 and 64,783.80 is: 97,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,689.76 : 231,872.64 = 64,783.80 : x
  2. Step 2: Convert to fraction form
    154,689.76/231,872.64 = 64,783.80/x
  3. Step 3: Cross multiply
    154,689.76x = 231,872.64 × 64,783.80
  4. Step 4: Simplify right side
    154,689.76x = 15,021,590,735.23
  5. Step 5: Solve for x
    x = 15,021,590,735.23/154,689.76
  6. Step 6: Final answer
    x = 97,107.85

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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.