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Finding the Fourth Proportional to 318,729.80, 478,095.02 and 82,073

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Solution

The fourth proportional to 318,729.80, 478,095.02 and 82,073 is: 123,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,729.80 : 478,095.02 = 82,073 : x
  2. Step 2: Convert to fraction form
    318,729.80/478,095.02 = 82,073/x
  3. Step 3: Cross multiply
    318,729.80x = 478,095.02 × 82,073
  4. Step 4: Simplify right side
    318,729.80x = 39,238,692,576.46
  5. Step 5: Solve for x
    x = 39,238,692,576.46/318,729.80
  6. Step 6: Final answer
    x = 123,109.58

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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.