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Finding the Fourth Proportional to 55,883.60, 83,815.80 and 20,805.20

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Solution

The fourth proportional to 55,883.60, 83,815.80 and 20,805.20 is: 31,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,883.60 : 83,815.80 = 20,805.20 : x
  2. Step 2: Convert to fraction form
    55,883.60/83,815.80 = 20,805.20/x
  3. Step 3: Cross multiply
    55,883.60x = 83,815.80 × 20,805.20
  4. Step 4: Simplify right side
    55,883.60x = 1,743,804,482.16
  5. Step 5: Solve for x
    x = 1,743,804,482.16/55,883.60
  6. Step 6: Final answer
    x = 31,204.23

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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.