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Finding the Fourth Proportional to 318,066.77, 477,099.86 and 81,409.07

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Solution

The fourth proportional to 318,066.77, 477,099.86 and 81,409.07 is: 122,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,066.77 : 477,099.86 = 81,409.07 : x
  2. Step 2: Convert to fraction form
    318,066.77/477,099.86 = 81,409.07/x
  3. Step 3: Cross multiply
    318,066.77x = 477,099.86 × 81,409.07
  4. Step 4: Simplify right side
    318,066.77x = 38,840,256,685.43
  5. Step 5: Solve for x
    x = 38,840,256,685.43/318,066.77
  6. Step 6: Final answer
    x = 122,113.53

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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.