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Finding the Fourth Proportional to 318,119.16, 477,142.68 and 81,463.56

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Solution

The fourth proportional to 318,119.16, 477,142.68 and 81,463.56 is: 122,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,119.16 : 477,142.68 = 81,463.56 : x
  2. Step 2: Convert to fraction form
    318,119.16/477,142.68 = 81,463.56/x
  3. Step 3: Cross multiply
    318,119.16x = 477,142.68 × 81,463.56
  4. Step 4: Simplify right side
    318,119.16x = 38,869,741,340.74
  5. Step 5: Solve for x
    x = 38,869,741,340.74/318,119.16
  6. Step 6: Final answer
    x = 122,186.11

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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.