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Finding the Fourth Proportional to 55,746, 83,619 and 18,810

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Solution

The fourth proportional to 55,746, 83,619 and 18,810 is: 28,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,746 : 83,619 = 18,810 : x
  2. Step 2: Convert to fraction form
    55,746/83,619 = 18,810/x
  3. Step 3: Cross multiply
    55,746x = 83,619 × 18,810
  4. Step 4: Simplify right side
    55,746x = 1,572,873,390
  5. Step 5: Solve for x
    x = 1,572,873,390/55,746
  6. Step 6: Final answer
    x = 28,215

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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.