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Finding the Fourth Proportional to 85,082, 127,681.44 and 29,678

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Solution

The fourth proportional to 85,082, 127,681.44 and 29,678 is: 44,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,082 : 127,681.44 = 29,678 : x
  2. Step 2: Convert to fraction form
    85,082/127,681.44 = 29,678/x
  3. Step 3: Cross multiply
    85,082x = 127,681.44 × 29,678
  4. Step 4: Simplify right side
    85,082x = 3,789,329,776.32
  5. Step 5: Solve for x
    x = 3,789,329,776.32/85,082
  6. Step 6: Final answer
    x = 44,537.38

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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.