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Finding the Fourth Proportional to 123,813.38, 185,730.44 and 39,585.53

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Solution

The fourth proportional to 123,813.38, 185,730.44 and 39,585.53 is: 59,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,813.38 : 185,730.44 = 39,585.53 : x
  2. Step 2: Convert to fraction form
    123,813.38/185,730.44 = 39,585.53/x
  3. Step 3: Cross multiply
    123,813.38x = 185,730.44 × 39,585.53
  4. Step 4: Simplify right side
    123,813.38x = 7,352,238,170.93
  5. Step 5: Solve for x
    x = 7,352,238,170.93/123,813.38
  6. Step 6: Final answer
    x = 59,381.61

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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.