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Finding the Fourth Proportional to 55,917.80, 83,802.14 and 20,822.12

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Solution

The fourth proportional to 55,917.80, 83,802.14 and 20,822.12 is: 31,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,917.80 : 83,802.14 = 20,822.12 : x
  2. Step 2: Convert to fraction form
    55,917.80/83,802.14 = 20,822.12/x
  3. Step 3: Cross multiply
    55,917.80x = 83,802.14 × 20,822.12
  4. Step 4: Simplify right side
    55,917.80x = 1,744,938,215.34
  5. Step 5: Solve for x
    x = 1,744,938,215.34/55,917.80
  6. Step 6: Final answer
    x = 31,205.42

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1.5x scale

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.