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Finding the Fourth Proportional to 55,929.80, 83,991.90 and 54,180.20

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Solution

The fourth proportional to 55,929.80, 83,991.90 and 54,180.20 is: 81,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,929.80 : 83,991.90 = 54,180.20 : x
  2. Step 2: Convert to fraction form
    55,929.80/83,991.90 = 54,180.20/x
  3. Step 3: Cross multiply
    55,929.80x = 83,991.90 × 54,180.20
  4. Step 4: Simplify right side
    55,929.80x = 4,550,697,940.38
  5. Step 5: Solve for x
    x = 4,550,697,940.38/55,929.80
  6. Step 6: Final answer
    x = 81,364.46

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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.