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Finding the Fourth Proportional to 299,956.72, 449,935.53 and 120,123.16

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Solution

The fourth proportional to 299,956.72, 449,935.53 and 120,123.16 is: 180,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,956.72 : 449,935.53 = 120,123.16 : x
  2. Step 2: Convert to fraction form
    299,956.72/449,935.53 = 120,123.16/x
  3. Step 3: Cross multiply
    299,956.72x = 449,935.53 × 120,123.16
  4. Step 4: Simplify right side
    299,956.72x = 54,047,677,659.87
  5. Step 5: Solve for x
    x = 54,047,677,659.87/299,956.72
  6. Step 6: Final answer
    x = 180,184.92

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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.