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Finding the Fourth Proportional to 52,012.56, 78,033.96 and 18,732

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Solution

The fourth proportional to 52,012.56, 78,033.96 and 18,732 is: 28,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.56 : 78,033.96 = 18,732 : x
  2. Step 2: Convert to fraction form
    52,012.56/78,033.96 = 18,732/x
  3. Step 3: Cross multiply
    52,012.56x = 78,033.96 × 18,732
  4. Step 4: Simplify right side
    52,012.56x = 1,461,732,138.72
  5. Step 5: Solve for x
    x = 1,461,732,138.72/52,012.56
  6. Step 6: Final answer
    x = 28,103.45

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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.