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Finding the Fourth Proportional to 82,709.80, 124,179.90 and 51,605.80

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Solution

The fourth proportional to 82,709.80, 124,179.90 and 51,605.80 is: 77,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.80 : 124,179.90 = 51,605.80 : x
  2. Step 2: Convert to fraction form
    82,709.80/124,179.90 = 51,605.80/x
  3. Step 3: Cross multiply
    82,709.80x = 124,179.90 × 51,605.80
  4. Step 4: Simplify right side
    82,709.80x = 6,408,403,083.42
  5. Step 5: Solve for x
    x = 6,408,403,083.42/82,709.80
  6. Step 6: Final answer
    x = 77,480.58

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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.