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Finding the Fourth Proportional to 191,282.20, 286,923.30 and 102,708.70

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Solution

The fourth proportional to 191,282.20, 286,923.30 and 102,708.70 is: 154,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,282.20 : 286,923.30 = 102,708.70 : x
  2. Step 2: Convert to fraction form
    191,282.20/286,923.30 = 102,708.70/x
  3. Step 3: Cross multiply
    191,282.20x = 286,923.30 × 102,708.70
  4. Step 4: Simplify right side
    191,282.20x = 29,469,519,142.71
  5. Step 5: Solve for x
    x = 29,469,519,142.71/191,282.20
  6. Step 6: Final answer
    x = 154,063.05

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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.