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Finding the Fourth Proportional to 123,782.49, 185,667.53 and 67,732.11

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Solution

The fourth proportional to 123,782.49, 185,667.53 and 67,732.11 is: 101,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,782.49 : 185,667.53 = 67,732.11 : x
  2. Step 2: Convert to fraction form
    123,782.49/185,667.53 = 67,732.11/x
  3. Step 3: Cross multiply
    123,782.49x = 185,667.53 × 67,732.11
  4. Step 4: Simplify right side
    123,782.49x = 12,575,653,226.73
  5. Step 5: Solve for x
    x = 12,575,653,226.73/123,782.49
  6. Step 6: Final answer
    x = 101,594.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.