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Finding the Fourth Proportional to 189,322.44, 283,964.76 and 77,009.28

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Solution

The fourth proportional to 189,322.44, 283,964.76 and 77,009.28 is: 115,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,322.44 : 283,964.76 = 77,009.28 : x
  2. Step 2: Convert to fraction form
    189,322.44/283,964.76 = 77,009.28/x
  3. Step 3: Cross multiply
    189,322.44x = 283,964.76 × 77,009.28
  4. Step 4: Simplify right side
    189,322.44x = 21,867,921,712.97
  5. Step 5: Solve for x
    x = 21,867,921,712.97/189,322.44
  6. Step 6: Final answer
    x = 115,506.23

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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.