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Finding the Fourth Proportional to 188,942.40, 283,405.40 and 70,614.76

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Solution

The fourth proportional to 188,942.40, 283,405.40 and 70,614.76 is: 105,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942.40 : 283,405.40 = 70,614.76 : x
  2. Step 2: Convert to fraction form
    188,942.40/283,405.40 = 70,614.76/x
  3. Step 3: Cross multiply
    188,942.40x = 283,405.40 × 70,614.76
  4. Step 4: Simplify right side
    188,942.40x = 20,012,604,303.70
  5. Step 5: Solve for x
    x = 20,012,604,303.70/188,942.40
  6. Step 6: Final answer
    x = 105,919.08

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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.