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Finding the Fourth Proportional to 189,318.44, 283,958.76 and 77,005.28

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Solution

The fourth proportional to 189,318.44, 283,958.76 and 77,005.28 is: 115,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,318.44 : 283,958.76 = 77,005.28 : x
  2. Step 2: Convert to fraction form
    189,318.44/283,958.76 = 77,005.28/x
  3. Step 3: Cross multiply
    189,318.44x = 283,958.76 × 77,005.28
  4. Step 4: Simplify right side
    189,318.44x = 21,866,323,822.25
  5. Step 5: Solve for x
    x = 21,866,323,822.25/189,318.44
  6. Step 6: Final answer
    x = 115,500.23

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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.