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Finding the Fourth Proportional to 55,760, 83,652.96 and 18,824

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Solution

The fourth proportional to 55,760, 83,652.96 and 18,824 is: 28,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760 : 83,652.96 = 18,824 : x
  2. Step 2: Convert to fraction form
    55,760/83,652.96 = 18,824/x
  3. Step 3: Cross multiply
    55,760x = 83,652.96 × 18,824
  4. Step 4: Simplify right side
    55,760x = 1,574,683,319.04
  5. Step 5: Solve for x
    x = 1,574,683,319.04/55,760
  6. Step 6: Final answer
    x = 28,240.38

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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.