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Finding the Fourth Proportional to 318,732.80, 478,099.52 and 82,076

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Solution

The fourth proportional to 318,732.80, 478,099.52 and 82,076 is: 123,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,732.80 : 478,099.52 = 82,076 : x
  2. Step 2: Convert to fraction form
    318,732.80/478,099.52 = 82,076/x
  3. Step 3: Cross multiply
    318,732.80x = 478,099.52 × 82,076
  4. Step 4: Simplify right side
    318,732.80x = 39,240,496,203.52
  5. Step 5: Solve for x
    x = 39,240,496,203.52/318,732.80
  6. Step 6: Final answer
    x = 123,114.08

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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.