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Finding the Fourth Proportional to 318,073.14, 477,109.41 and 81,415.44

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Solution

The fourth proportional to 318,073.14, 477,109.41 and 81,415.44 is: 122,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,073.14 : 477,109.41 = 81,415.44 : x
  2. Step 2: Convert to fraction form
    318,073.14/477,109.41 = 81,415.44/x
  3. Step 3: Cross multiply
    318,073.14x = 477,109.41 × 81,415.44
  4. Step 4: Simplify right side
    318,073.14x = 38,844,072,543.29
  5. Step 5: Solve for x
    x = 38,844,072,543.29/318,073.14
  6. Step 6: Final answer
    x = 122,123.08

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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.