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Finding the Fourth Proportional to 126,146.70, 189,220.05 and 86,583.87

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Solution

The fourth proportional to 126,146.70, 189,220.05 and 86,583.87 is: 129,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,146.70 : 189,220.05 = 86,583.87 : x
  2. Step 2: Convert to fraction form
    126,146.70/189,220.05 = 86,583.87/x
  3. Step 3: Cross multiply
    126,146.70x = 189,220.05 × 86,583.87
  4. Step 4: Simplify right side
    126,146.70x = 16,383,404,547.14
  5. Step 5: Solve for x
    x = 16,383,404,547.14/126,146.70
  6. Step 6: Final answer
    x = 129,875.81

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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.