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Finding the Fourth Proportional to 189,175.70, 283,779.90 and 54,240.36

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Solution

The fourth proportional to 189,175.70, 283,779.90 and 54,240.36 is: 81,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,175.70 : 283,779.90 = 54,240.36 : x
  2. Step 2: Convert to fraction form
    189,175.70/283,779.90 = 54,240.36/x
  3. Step 3: Cross multiply
    189,175.70x = 283,779.90 × 54,240.36
  4. Step 4: Simplify right side
    189,175.70x = 15,392,323,936.76
  5. Step 5: Solve for x
    x = 15,392,323,936.76/189,175.70
  6. Step 6: Final answer
    x = 81,365.23

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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.