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Finding the Fourth Proportional to 320,065.68, 480,123.03 and 95,408.94

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Solution

The fourth proportional to 320,065.68, 480,123.03 and 95,408.94 is: 143,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,065.68 : 480,123.03 = 95,408.94 : x
  2. Step 2: Convert to fraction form
    320,065.68/480,123.03 = 95,408.94/x
  3. Step 3: Cross multiply
    320,065.68x = 480,123.03 × 95,408.94
  4. Step 4: Simplify right side
    320,065.68x = 45,808,029,361.89
  5. Step 5: Solve for x
    x = 45,808,029,361.89/320,065.68
  6. Step 6: Final answer
    x = 143,120.72

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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.