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Finding the Fourth Proportional to 189,510.60, 283,920.30 and 154,259.40

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Solution

The fourth proportional to 189,510.60, 283,920.30 and 154,259.40 is: 231,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,510.60 : 283,920.30 = 154,259.40 : x
  2. Step 2: Convert to fraction form
    189,510.60/283,920.30 = 154,259.40/x
  3. Step 3: Cross multiply
    189,510.60x = 283,920.30 × 154,259.40
  4. Step 4: Simplify right side
    189,510.60x = 43,797,375,125.82
  5. Step 5: Solve for x
    x = 43,797,375,125.82/189,510.60
  6. Step 6: Final answer
    x = 231,107.79

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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.