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Finding the Fourth Proportional to 123,813.89, 185,731.19 and 39,586.04

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Solution

The fourth proportional to 123,813.89, 185,731.19 and 39,586.04 is: 59,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,813.89 : 185,731.19 = 39,586.04 : x
  2. Step 2: Convert to fraction form
    123,813.89/185,731.19 = 39,586.04/x
  3. Step 3: Cross multiply
    123,813.89x = 185,731.19 × 39,586.04
  4. Step 4: Simplify right side
    123,813.89x = 7,352,361,190.00
  5. Step 5: Solve for x
    x = 7,352,361,190.00/123,813.89
  6. Step 6: Final answer
    x = 59,382.36

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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.