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Finding the Fourth Proportional to 55,420.96, 83,143.92 and 18,484

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Solution

The fourth proportional to 55,420.96, 83,143.92 and 18,484 is: 27,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420.96 : 83,143.92 = 18,484 : x
  2. Step 2: Convert to fraction form
    55,420.96/83,143.92 = 18,484/x
  3. Step 3: Cross multiply
    55,420.96x = 83,143.92 × 18,484
  4. Step 4: Simplify right side
    55,420.96x = 1,536,832,217.28
  5. Step 5: Solve for x
    x = 1,536,832,217.28/55,420.96
  6. Step 6: Final answer
    x = 27,730.16

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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.