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Finding the Fourth Proportional to 102,580.80, 153,914.40 and 55,867.20

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Solution

The fourth proportional to 102,580.80, 153,914.40 and 55,867.20 is: 83,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.80 : 153,914.40 = 55,867.20 : x
  2. Step 2: Convert to fraction form
    102,580.80/153,914.40 = 55,867.20/x
  3. Step 3: Cross multiply
    102,580.80x = 153,914.40 × 55,867.20
  4. Step 4: Simplify right side
    102,580.80x = 8,598,766,567.68
  5. Step 5: Solve for x
    x = 8,598,766,567.68/102,580.80
  6. Step 6: Final answer
    x = 83,824.33

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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.