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Finding the Fourth Proportional to 124,138.56, 186,205.68 and 30,644.40

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Solution

The fourth proportional to 124,138.56, 186,205.68 and 30,644.40 is: 45,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,138.56 : 186,205.68 = 30,644.40 : x
  2. Step 2: Convert to fraction form
    124,138.56/186,205.68 = 30,644.40/x
  3. Step 3: Cross multiply
    124,138.56x = 186,205.68 × 30,644.40
  4. Step 4: Simplify right side
    124,138.56x = 5,706,161,340.19
  5. Step 5: Solve for x
    x = 5,706,161,340.19/124,138.56
  6. Step 6: Final answer
    x = 45,966.07

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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.