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Finding the Fourth Proportional to 318,074.82, 477,101.29 and 81,419.55

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Solution

The fourth proportional to 318,074.82, 477,101.29 and 81,419.55 is: 122,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,074.82 : 477,101.29 = 81,419.55 : x
  2. Step 2: Convert to fraction form
    318,074.82/477,101.29 = 81,419.55/x
  3. Step 3: Cross multiply
    318,074.82x = 477,101.29 × 81,419.55
  4. Step 4: Simplify right side
    318,074.82x = 38,845,369,747.16
  5. Step 5: Solve for x
    x = 38,845,369,747.16/318,074.82
  6. Step 6: Final answer
    x = 122,126.52

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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.