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Finding the Fourth Proportional to 318,728.80, 478,093.52 and 82,072

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Solution

The fourth proportional to 318,728.80, 478,093.52 and 82,072 is: 123,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,728.80 : 478,093.52 = 82,072 : x
  2. Step 2: Convert to fraction form
    318,728.80/478,093.52 = 82,072/x
  3. Step 3: Cross multiply
    318,728.80x = 478,093.52 × 82,072
  4. Step 4: Simplify right side
    318,728.80x = 39,238,091,373.44
  5. Step 5: Solve for x
    x = 39,238,091,373.44/318,728.80
  6. Step 6: Final answer
    x = 123,108.08

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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.