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Finding the Fourth Proportional to 189,473.94, 283,964.10 and 77,022.80

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Solution

The fourth proportional to 189,473.94, 283,964.10 and 77,022.80 is: 115,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,473.94 : 283,964.10 = 77,022.80 : x
  2. Step 2: Convert to fraction form
    189,473.94/283,964.10 = 77,022.80/x
  3. Step 3: Cross multiply
    189,473.94x = 283,964.10 × 77,022.80
  4. Step 4: Simplify right side
    189,473.94x = 21,871,709,437.69
  5. Step 5: Solve for x
    x = 21,871,709,437.69/189,473.94
  6. Step 6: Final answer
    x = 115,433.87

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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.