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Finding the Fourth Proportional to 75,739.60, 113,609.40 and 54,744.40

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Solution

The fourth proportional to 75,739.60, 113,609.40 and 54,744.40 is: 82,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,739.60 : 113,609.40 = 54,744.40 : x
  2. Step 2: Convert to fraction form
    75,739.60/113,609.40 = 54,744.40/x
  3. Step 3: Cross multiply
    75,739.60x = 113,609.40 × 54,744.40
  4. Step 4: Simplify right side
    75,739.60x = 6,219,478,437.36
  5. Step 5: Solve for x
    x = 6,219,478,437.36/75,739.60
  6. Step 6: Final answer
    x = 82,116.60

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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.