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Finding the Fourth Proportional to 55,109.45, 75,978.60 and 39,783.08

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Solution

The fourth proportional to 55,109.45, 75,978.60 and 39,783.08 is: 54,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109.45 : 75,978.60 = 39,783.08 : x
  2. Step 2: Convert to fraction form
    55,109.45/75,978.60 = 39,783.08/x
  3. Step 3: Cross multiply
    55,109.45x = 75,978.60 × 39,783.08
  4. Step 4: Simplify right side
    55,109.45x = 3,022,662,722.09
  5. Step 5: Solve for x
    x = 3,022,662,722.09/55,109.45
  6. Step 6: Final answer
    x = 54,848.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.