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Finding the Fourth Proportional to 136,991, 189,048.69 and 76,564.19

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Solution

The fourth proportional to 136,991, 189,048.69 and 76,564.19 is: 105,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,991 : 189,048.69 = 76,564.19 : x
  2. Step 2: Convert to fraction form
    136,991/189,048.69 = 76,564.19/x
  3. Step 3: Cross multiply
    136,991x = 189,048.69 × 76,564.19
  4. Step 4: Simplify right side
    136,991x = 14,474,359,820.41
  5. Step 5: Solve for x
    x = 14,474,359,820.41/136,991
  6. Step 6: Final answer
    x = 105,659.20

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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.