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Finding the Fourth Proportional to 136,890, 188,912.25 and 76,463.19

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Solution

The fourth proportional to 136,890, 188,912.25 and 76,463.19 is: 105,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,890 : 188,912.25 = 76,463.19 : x
  2. Step 2: Convert to fraction form
    136,890/188,912.25 = 76,463.19/x
  3. Step 3: Cross multiply
    136,890x = 188,912.25 × 76,463.19
  4. Step 4: Simplify right side
    136,890x = 14,444,833,265.08
  5. Step 5: Solve for x
    x = 14,444,833,265.08/136,890
  6. Step 6: Final answer
    x = 105,521.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.