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Finding the Fourth Proportional to 318,155.10, 477,221.64 and 81,500.10

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Solution

The fourth proportional to 318,155.10, 477,221.64 and 81,500.10 is: 122,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,155.10 : 477,221.64 = 81,500.10 : x
  2. Step 2: Convert to fraction form
    318,155.10/477,221.64 = 81,500.10/x
  3. Step 3: Cross multiply
    318,155.10x = 477,221.64 × 81,500.10
  4. Step 4: Simplify right side
    318,155.10x = 38,893,611,382.16
  5. Step 5: Solve for x
    x = 38,893,611,382.16/318,155.10
  6. Step 6: Final answer
    x = 122,247.33

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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.