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Finding the Fourth Proportional to 136,991.58, 189,047.21 and 76,564.77

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Solution

The fourth proportional to 136,991.58, 189,047.21 and 76,564.77 is: 105,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,991.58 : 189,047.21 = 76,564.77 : x
  2. Step 2: Convert to fraction form
    136,991.58/189,047.21 = 76,564.77/x
  3. Step 3: Cross multiply
    136,991.58x = 189,047.21 × 76,564.77
  4. Step 4: Simplify right side
    136,991.58x = 14,474,356,152.79
  5. Step 5: Solve for x
    x = 14,474,356,152.79/136,991.58
  6. Step 6: Final answer
    x = 105,658.73

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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.