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Finding the Fourth Proportional to 189,424.62, 283,684.41 and 104,975.28

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Solution

The fourth proportional to 189,424.62, 283,684.41 and 104,975.28 is: 157,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,424.62 : 283,684.41 = 104,975.28 : x
  2. Step 2: Convert to fraction form
    189,424.62/283,684.41 = 104,975.28/x
  3. Step 3: Cross multiply
    189,424.62x = 283,684.41 × 104,975.28
  4. Step 4: Simplify right side
    189,424.62x = 29,779,850,371.38
  5. Step 5: Solve for x
    x = 29,779,850,371.38/189,424.62
  6. Step 6: Final answer
    x = 157,212.14

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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.