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Finding the Fourth Proportional to 259,140, 388,083.06 and 125,689.80

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Solution

The fourth proportional to 259,140, 388,083.06 and 125,689.80 is: 188,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,140 : 388,083.06 = 125,689.80 : x
  2. Step 2: Convert to fraction form
    259,140/388,083.06 = 125,689.80/x
  3. Step 3: Cross multiply
    259,140x = 388,083.06 × 125,689.80
  4. Step 4: Simplify right side
    259,140x = 48,778,082,194.79
  5. Step 5: Solve for x
    x = 48,778,082,194.79/259,140
  6. Step 6: Final answer
    x = 188,230.62

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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.