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Finding the Fourth Proportional to 136,954.50, 189,006 and 76,525.32

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Solution

The fourth proportional to 136,954.50, 189,006 and 76,525.32 is: 105,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,954.50 : 189,006 = 76,525.32 : x
  2. Step 2: Convert to fraction form
    136,954.50/189,006 = 76,525.32/x
  3. Step 3: Cross multiply
    136,954.50x = 189,006 × 76,525.32
  4. Step 4: Simplify right side
    136,954.50x = 14,463,744,631.92
  5. Step 5: Solve for x
    x = 14,463,744,631.92/136,954.50
  6. Step 6: Final answer
    x = 105,609.85

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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.